It should be possible to replace the battery, given that the device itself has not taken any permanent damage (deformation or rupture of the frame, torn cables, etc.). If the glue of the screen separated, it would be best if it was replaced.
As for the battery having inflated, this damaged LiPo battery should be disposed of safely ASAP. Check for a special disposal location near you and transport it safely there (no metal container that could short the battery, no sharp edges that could tear / puncture it). Put it somewhere where you could possibly get rid of it fast and as safely as possible if it should catch fire.