Yes, very definitely. But, watch out!
How?
I will apologize now for how long this is going to get. But it is a personal example.
Sorry, but there is so much to say...
First, generally, when you post bits of information from a social media profile, you often generate traffic. It helps to have lots of followers, of course. It will also depend upon what is trending. Another thing you can do is to use relevant hashtags, as people often search these for subjects they are interested in.
There are all sorts of ways to do it, generate interest in your website. Interestingly, I do this all the time. As I am often designing logos for myself and others, I maintain an online freeware & shareware catalog of fonts. When I add a font, I often promote it (though not always, as I am a busy guy), with a shout-out about it's addition to the catalog from that brand account. Now, even though freeware/shareware fonts are often every bit as good as commercial fonts, and sometimes even offer better stuff, bonuses & features, usually they are presented very well (in sample graphics). Though I try to help out with the ones that need it, I'm not spending a great deal of time on my free archives stuff & free offers.
Note that many of the freeware/shareware fonts are done and released by artists & designers before they become a commercial studio or type foundry. Or they released a nice older font to generate interest in the new commercial operation and sell more fonts at their website. With shareware they will also often release a font with a limited character set, but as soon as you need a $, © or TM sign or other characters, they will expect you to visit their website to download the pro version that you can use commercially (for a small fee at PayPal).
My Font-Journal is actually more commercially oriented, because I created it so that I and my peers would have a decent catalog of freeware & shareware font that is OK for commercial use. Not all of it is, mind you, some is personal use only, as I started with a catalog of 13,000 fonts, and I deleted a bunch (plus or minus 1,000) that I thought were not up-to-par. Still, you do have to check every license because I am concentrating on the new stuff I added & am adding.
I, my clients, my peer designers & their clients often use this as a resource to pick-out the styles of fonts they like so that we have examples to reference when we create their logo, seal, or graphics, etc...
Anyway, now you know why I bother. It's just a starting point, but I love typography, the type itself, and the creativity I enjoy when creating/designing logos.
So anyway, not all the freeware is the best, so often I also promote commercial fonts with affiliate links in Twitter and Pinterest. This, the free stuff that I collect, and the other posts I make create a nice little profile timeline. But, I only have some 250 followers on Twitter, just over 100 on Pinterest. So, I have to retweet or repost stuff in my other account with a large following.
Believe it or not, this actually generates interest in my website. Not so much the font I am promoting, but people go to the website and find the other stuff they like. Even if I am retweeting/reposting, people seem to get curious about the website URL of the original tweeter/pinner.
But that is not all, it isn't just the direct links in the posts or the profile that generates traffic, but Google has webservers in the middle of everything and they see the traffic and realize there is something going on there and send you more traffic that is similar to what the traffic going there is about or looking at.
Now, the trick is who can you depend on?
Facebook is so full of security holes I had to abandon all of my marketing there, and I really had a lot going on there, with groups for fonts, designers, photoshop & a whole bunch of different brand marketing pages for some of each of my websites. Plus I don't like how it is run, but as a security oriented guy I realized that anyone using that platform is putting his own customers and clientele at risk and that is not a thing, with so many idiotic security breaches, that I ever want to be a part of, and Fb has never cleaned-up its act. Not ever. It doesn't even make an attempt at it.
Then there's Google+. I was actually banking on that platform. I had so many Google+ community groups and I was feeding them content like crazy. Even today, I have 3 working Android phones and 3 Android tablets. I was feeding the monster that is Google. And just like that, even though everyone has set-up G+ profile links everywhere, even still feature the option to add your G+ link in profiles, it disappeared unless you setup a corporate account.
These are only examples, I have lost out before and I will never return to Facebook, which means I lose out on a lot of advertising opportunities, but they are mining everyone's personal data to criminal levels and I will never want to be associated with any such crap.
So, yeah, it helps, it can help a lot. But be careful who you associate with. If they don't conduct business fairly, you may not want to have anything to do with them, either. And then there are things like Google+ disappearing, Tumblr being sold to Yahoo & then Verizon, and now its monetized with ads that can compete with your content. Same for wordpress.org
So many betrayals.
I use Twitter & Pinterest because Twitter is good for quick announcements, but that announcement does not last long (only minutes, or less). But Pinterest posts (pins) are relevant for like 4 months.
And, oh yeah... Google does have crawlers specific to social media and may well see anything you post.