Am I missing an exhaust hanger?

New tailpipe is installed, bracket was installed on catalytic convertor. I saw this bracket. Should there be an exhaust hanger here?

It sure looks like there was one there originally.  So yes, you appear to be missing one.

But do you need it is the better question, and we can't answer that w/o knowing what other hangers you have.

So the safest way is to add one there.

That's odd.
Not only because it seems you have an intermediate pipe for a 138" WB truck (43782), but because it looks like the intermediate pipe is direct to the tailpipe going over the axle.  

The Walker diagram shows a hanger tab on the back of the muffler (black square) right about where that frame bracket is.
Otherwise it only shows three clamps and a tailpipe hanger (35460) aft of the axle. (the other black square)

You are correct about the tailpipe. The pipe between the Cat and muffler are welded.

Yes sir, you're missing the rest of a factory hanger!

Thank you!