No, "swoop" is different from "swap".
The sentence means that Aston Villa are going to act quickly to try to buy Jones from Sunderland. See the second definition in the WR dictionary: "a very rapid raid".
If you mean "make a swoop", you need to say "make a swoop".
Literally, a "swoop" is a rapid, downwardly curving movement, like a bird of prey swooping down on a small animal. It is used figuratively here, to mean that Aston Villa is going to rapidly "capture" Jones.