Possibly - especially if the crack runs perpendicular to the ceiling joists. What can happen is the overlying floor joists can dry out severely if the underlying room has very low humidity (which could be a result of excess heat), causing the joists to shrink - get shorter. Because they are (hopefully) rigidly tied at the ends, this means the shrinkage strain accumulates at the center, which could open up a ceiling drywall joint.
Anotehr possibility is normal sagging of the joists as the joists age - commonly in say a 16-18' wide double car garage, the joists can sag as much as 1-2 inches over the years - and that sag can cause cracking of the drywall at the nearest to center sheet joint.
If you don't see significant sagging of the ceiling or water staining or other indication of a potential significant cause of this, I would use drywall compound with a flat drywall trowel to remud the joints and see what happens, and how fast.
