Perhaps, but one big problem is the rocket equation: dinosaurs are generally very large compared to humans, so they'd need huge spaceships to carry them, and as we know, the rocket equation means you need far more fuel to lift an amount of mass to orbit. Perhaps only some smaller species of dinosaur evolved into an intelligent civilization.
The Cretaceous-Tertiary Extinction event occurred, as far as we know,
Sixty five point five million years ago
But even the interval of error in that estimated date
Is longer than it took us humans to evolve from apes
And if in that time we mammals managed to conquer space
I believe the Dinosaurs could have done the same