I think yes, it could.
Moreover, I think it's most likely that, if life were to exist in space, that it would have originated there too, instead of having evolved somewhere else and then found its ecological niche there. But that's speculation based on a bunch of half-baked assumptions, probably.
Starting from basics: rocks exist in space. They are not what we'd call alive. Stars too; ditto. Immediately we're confronted by what we mean by "alive". Uh-oh!
(Takes a deep breath, reads Fred Hoyle's "The Black Cloud", and forges onward...)
Life involves some kind of process. Rocks do this. Chemical reactions in asteroids proceed almost with certainty, but with glacial slowness. They, however, are not alive.
Stars are much more dynamic. Why are they not alive? Well, perhaps some stars are.
Notice that I'm hedging wildly. It is not necessary, you see, to posit intelligence - merely some kind of sentience, down to the single-cell kind of sentience, to pronounce something alive.
Perhaps it's the ability to reproduce, rather than to process energy and to think.
Damn, I was going to answer this with a short paragraph about "these proposed beings would take energy from available sources, and this would be electromagnetic in nature of course - gamma rays, cosmic rays, light rays, whatever. Hell, some may thrive near black holes using gravitational potential differences to get their energy."
But now I'm hung up on what life is.
So I think I'll cede the floor to the next contender
