As others have said, depends on the plane. You might hae trouble getting insured on an arrow for example. However, you shouldn't have any problems. My group flys a very good C150. We have 2 members who haven't passed their PPL yet.
I think group ownership really is the way to go.
Drop me a line when you've got you PPL, I know of a few shares coming up later in the year that might suit you nicely.