I don't think it's possible to target a specific person with an algorithm alone, especially across TAs, interline and codeshare tickets, and other sales channels. If there's a global increase in searches for specific tickets, dates, or airports, they could use that data to change prices for everyone, but one person alone shouldn't make a difference.

But it's probably possible for airlines to do it locally on your browser, using cookies or based on your account or frequent flyer number. I don't how that would work on the back end though, whether it's changing fare bucket availability, adding surcharges, or something else. And of course it wouldn't work if you just didn't log into any accounts, switched computers or browsers, and/or used private browsing mode. So do any of those things if you're worried about it.

I've heard anecdotes from people that it's happening to them, but I'm skeptical that it's widespread, especially when so many other factors affect ticket pricing and availability in real time.