Maybe not Components, but Bodies and more for sure within a component. And not an add-in either.
I used to be able to this, and it was very useful... could do it with Bodies, Planes, sketches. Multi-select, and then (long?) press on any one to rename, enter new name, and all the selected items would get renamed NAME, NAME (1), NAME (2), etc. Very helpful when I had a lot of something that I wanted to have similar names for.
I had some other system issue that was preventing the regular F360 updates, just got that cleared and I'm good now... but the with latest update, I lost the ability to do bulk renaming. Grrr. A useful FEATURE imho, taken away to make life harder for me.