I think it could work but it would have to be written well. Characters would need to act in character, the writing would have to be good, and the story would either have to be resolved, or, exposed as a dream. It also couldn't be a long running story, and unless the aliens were human then they couldn't stay permanently. The only other thing is a character vanishes as their exit story or is abducted for a few weeks and claims to have been kidnapped by aliens.
Would be a good story for someone going on maternity leave (its certainly no more absurd than some of the other maternity leave stories we've had)