Not a chance unless the plane gets in early and the Man Airport groundstaff are like lightning (they won't be). IF you land on time, earliest you will be out is 4.50.
Take an hour to drive to the ground and then you have to find parking.
Only chance you have is to hope you get through passport control, pick up bags and then head over to the Train station and hope there's a direct train to Piccadilly. Down the stairs, into a cab and you might make a few mins left of the first half.
Other option is 2 Parachutes and hope the plane is coming in over the Audenshaw reservoir, you could possibly land on Ashton Old Road if you time it right!