Yes. I agree with boo1. We would have to know the joist size, spacing, and species to help you with that, assuming that the joists frame directly to the 2X4 bearing walls with no beams in the 2X4 walls.
Addidionally, what the walls frame to below would have to be checked as this could also limit the capacity of the loft in the bigger picture.
Mike McCann
MMC Engineering