Untamed quaker

The short answer is probably. Lots of patience and plenty of time will be needed, but it can be done. It sounds like you're already off to a good start with Looney. Biting can be hard to curb but there are ways to get the biting to stop. If Looney latches on to you, you can try the "earthquake" to get him to let go-- give yourself a good shake, but not quite hard enough to make Looney fall off,  just enough so he'll let go. That often works.
There are a few different methods to discourage biting. You might find some help in posts here on the Forum, and there are good parrot books available too. Mattie Sue Athan's Guide to the Quaker Parrot is one I often recommend. Parrot Training by Bonnie Munro Doane is another helpful book. Some of our other members may have some good ideas too.