Gee, I think I might just be smarter than-... nevermind.. just smart. :')

Therefor if you had a good enough telescope and were far enough away you could watch the dinosaurs die

Dude.. That's freakishly cool

It would be possible If the technology and the astronomy can be developed on a certain level lol

It will never be possible for any human to watch the dinosaurs die. However, if there are ailiens 65 000 000 light years away looking at earth right now, they are watching the dinosaur extinction live.

It is impossible to travel faster than the speed of light, which means that we cannot chase and review light from Earth.

because it would be a few light years away from earth, thereby granting visibility to the look of the star's past

In 2016, the Hubble Telescope, a telescope in orbit around earth with a little better zoom that your phone camera, took a picture of a the faraway galaxy GN-z11 as it looked 13.4 billion years ago, only 0.4 billion years after big bang. Here's the video of the zooming:
https://youtu.be/JzB8K_axFcc
or
https://youtu.be/dQw4w9WgXcQ