It is possible that it could have them but likely not to any great extent as an adult. Young to juvenile T-Rex could have had a full coat but adults likely either dropped them altogether or had exceedingly sparse feathers. Palaeoecology (climate, temperature etc.) and size (i.e. gigantothermy) are the main things that would determine the amount of feathers a T-Rex could have had.
Think of how super megafaunal mammals that live in hot climates today like rhinos and elephants are mostly hairless but their extinct northern relatives during the Ice Age had thick coats.
CHimerasuchus has a great video on Yutyrannus, an early Tyrannosauroid that is currently the largest known feathered dinosaur. The video goes into the debate about T-Rex and feathers. Skip to 5:14 if you want to see that part immediately.
Think of how super megafaunal mammals that live in hot climates today like rhinos and elephants are mostly hairless but their extinct northern relatives during the Ice Age had thick coats.
CHimerasuchus has a great video on Yutyrannus, an early Tyrannosauroid that is currently the largest known feathered dinosaur. The video goes into the debate about T-Rex and feathers. Skip to 5:14 if you want to see that part immediately.
16 minute video.
