While the Milky Way galaxy is on course to collide with Andromeda galaxy in 4.5 billion years, that will not make Voyager's arrival anywhere more likely, since the stars are far enough apart that they will not be affected.
My understanding is that it just makes it less predictable once that happens. We don't know exactly where all those stars are, and it gets chaotic once they start interacting.
It probably is a _bit_ more likely as well, you suddenly have ~2x the stars near you and some of them are moving much faster relative to you, it's just not a sure thing by any means.
It probably is a _bit_ more likely as well, you suddenly have ~2x the stars near you and some of them are moving much faster relative to you, it's just not a sure thing by any means.