Short answer - No. Tarbosaurus was a slightly smaller, leaner Tyrannosaur than T.rex was. Tarbosaurus was about 10-11 meters long, and 5-6 metric tons. Compared with T.rex which was about 12-13 meters long. and about 8-10 metric tons.
Now Rexy in (Jurassic World) is stated to be about 13.5 meters long, 5.2 meters tall, and likely about 10-12 metric tons. In the Camp Cretaceous series a Tarbosaurus fought Rexy - but ultimately was defeated by her. The Tarbosaurus was of course, smaller & leaner than Rexy.