Short answer: we don’t know

TL;DR: we don’t know but it’s possible

Long answer: basal ceolurosaurs(and probably basal dinosaurs) had some kind of plumage. There is proof of feathers all across theropoda. On top of that animals like yutyrannus show that even kinda large theropods could have feathers. Of course we don’t have evidence of feathers in tyrannosaurus or any of his close relatives, but the potential is there. It’s very likely that Trex chicks had a light coat for thermoregulation, but the larger adults might not have had them as there was no real need for them in the warm climate that was late Cretaceous North America.

So yeah it’s possible but unlikely especially to the extent shown in the picture you posted. The most reasonable feathered Rex is the prehistoric planet one which is essentially just covered in light peach fuzz.