You bring up an excellent question! And I have a couple of theories on it.
Firstly, there is no reason why they cant shift here. But just because they can doesn't mean they will, or that we'd notice.
For example if to get here, they made a script and in that script they had a full life here, would we know? No. We woudnt, because by them scripting in their life, our reality accepts that they're supposed to be here. And we would remember what they've scripted us to. (In terms of interaction and memories)
And if they didnt script, they just need to say something semi believable and we'd probably go: yo, that checks out, nice to meet you.
So in terms of theory, yeah, they could come here.
However, if their travel is anything like ours, then they'd need to have a solid idea of where they're going. This could be through seeing relevent media (books, films, tv) or through memories or history. So, if their reality has a link to ours through fact or fiction, then sure. If not, its like travelling blind, and they may go to a reality that is similar, but not ours. Or they may be unable to do it.
But, yeah, thats my take on in 😅
tldr: Theres no reason why they couldn't come here, and they may well do. However we may not be able to tell that they shifted here.
Or they could end up at a reality similar to ours, but not the same.