Hi. This yew was run over by a car and lost many branches. It was also trampled by siding workers. Can they be cut back for regrowth? I could also move it so it has more space ( it was there before I moved in).

WOW!! That is one beat-up yew!

Cut off anything that is broken, it looks like you did that but check again. Then remove about 1/3 off the top and maybe 1/4 off the sides. Try to lift the stems that are flattened and "fluff" them to see if removing a little off the ends will let them spring back up. In the spring feed it with a high-nitrogen fertilizer (like a lawn food with no weed killers) according to the directions on the package; remember that "if a little is good a lot will be better" is wrong, wrong , wrong. As it regrows shape as you like. There is hope!

I think it can grow back well as John describes. But if you might "move it so it has more space, " maybe you should move it.

Yews are not particularly fast growers but in my opinion you are looking at it recovering in at least five years. Maybe a lot longer!
A yew that is twenty, twenty five or thirty years old is not going to recover quickly. It just does not happen.

If it was my property, I would cut it back to six inch stubble and then dig it up. Then I would replace it with another yew or something more attractive. That is going to be a ugly spot next to your home for quite some time.