Yes, why not. We did a lot of Nursery bed planting when we started here with a lot of success, except for one or two plants which took a lot of getting rid of from the Nursery bed afterwards. I am thinking especially of Poppies. (My first ever posting on the Beeb was a plea as to how to kill these d....d things)
Yes, to compost, I would just add some sharp sand or grit or Perlite to increase drainage. Use a seed one rather than a growing compost, less food.
One other point, if the roots are in anyway dried out when the plants arrive, soak them for a while in tepid water before planting.
Obviously don't plant in too big a plant pot, but that is probably teaching my grandmother to suck eggs type advice.