No this is not at all possible. There are basically two different situations that can occur to end an inning.
- A force out in which no runs that previously scored will count.
- A tag out where any runs that score prior to the out will count.
If I am interpreting your question to mean can two players cross the plate during play and only one run count, the answer is no.
Now obviously a player could cross home after a tag out as @ipso has noted. If you are talking about during the actual play, this has no application. It is not necessarily clear if you mean during play or simply crossing the plate, because many players could cross home and not count if we don't limit the situation to during play.
We can get into little things such as base runner interference which when simplified will basically boil down to the two above scenarios.