That sounds do-able...In fact you could use both feet Sit down and you free up your other foot
Think about it. Fly fishing, you pull the line in with one hand, but you don't wind it on the reel until after you land the fish.
However, there is no reason why you cannot wind directly on to the reel. In fact, salt water fly fishing does exactly that. As long as the reel is not one of those cheap ones that is only intended to hold the line, then there is no reason why you cannot retrieve in the exact same way as an Alvey.
Actually, retrieving in an Alvey fashion and palming the reel would be easier than a "fly" retrieve. When fly retrieving the hand holding the rod is also used to hold the line while you bring the other hand up to retrieve more line. So for a split second your rod hand has the line "locked" until you pass the line to the other hand. If palming the reel you don't need to take the line in the other hand, you just have to let go of the reel.
The how bit is easy...It is palming, literally You use the palm of your hand to cup the reel spool. This gives better drag control than any in built drag system. Have you ever tried to adjust drag when fighting a fish? Well when palming you have total control without having to turn a knob. You can apply more or less drag instantly because your palm is the drag.
itsaboat mate...Life is just a boat and then ya marry one !