Pretty much yeah. Heres an example from leopard geckos:

The top is one with the original tail, and the lower is one with a regrown tail

(Neither of these are my pictures, I just googled some for an example)

In this case at least (I'm unsure if every species is like this), the regrow tail doesn't really regrow the bones or original bumpy texture, it's just a smooth fat blob in generally the shape of the tail, though often a bit thicker, shorter, and more blunt at the end.

That I'm not sure about, I know a lot less about skinks than I do geckos, but some quick searching suggests that at least some skinks can regrow a dropped tail