Not if it's their first story, no. If I see at least one finished story on their profile, I might give a second one a go after it's been started a bit ago, and the likelihood of me trying goes up the more finished stories there are. But never with first-time authors, no. I've just seen way too many drop their stories for that.
Actually, no shade there. Writing is hard. It's even harder when you just start out and need to get a grip on this completely new thing you're doing that you know nothing about and have to learn about first but then are made to feel like nobody really cares because you don't get many views, hardly any likes, almost no comments. People are bound to be discouraged by that so it's really not strange at all that most give up before ever finishing that first story. In fact, even when you've been writing for a few years but hit a rough patch, it can happen. It's just human. But it's also just really annoying for readers.
In fact, the latter makes this a bit of a vicious cycle: Readers burn their hands on stories that are started but never finished, then some - like me - decide just not to start reading stories that only started out because they don't want to go through that shit again, so they at most shelve them for later. As a result, first-time authors lose out on the response they could have gotten, are more likely to give up, and thus add to the pile of unfinished stories which will just discourage more readers from starting these kinds of stories.