|Source: Wikimedia Commons|
Peafowl can fly (they're really best looked at as similar to a pheasant) and unless they're hurt or trapped in some way any attempt by us to take them in is likely to result in a definite Peacock: 3 RSPCA: Nil type result.
For some reason, Wrexham council also seem to have lots of complaints about peafowl and they've produced a help-sheet for potential owners and finders.
If you're thinking of keeping peafowl you need quite a lot of land and very tolerant (or out of earshot!) neighbours.