sure... i'd do it...
not as if you can't come back if you get fed up there... most Trek ships spend enough time around the 20th / 21st century anyway, or run into time travel along the way... so you can always hitch a ride home if needed lol
M
Just hop off when they do the next 21st century ep. Or a parallel earth in the early 21st century. Close enough, eh?
Hell, that might even be better. If life was better for the two of us on a parallel Earth, I might even rethink my wish to go live on the Enterprise. At least as long as that other Earth had Star Trek level medicine.