I can think of some pretty kooky looking shots that would meet that requirement! I think with practice I could reliably throw up to 1.5m in front of my lie and hop backwards, and likewise to either side. Would it have to be the first point of contact after release, or do I have a time limit so I can throw and sprint back and slide to my lie like baseball?
I think what you're suggesting is if you are in contact at release, then that must be on and remain on the lie, and if you're airborne at release you must land on and remain on the lie? In which case I think you just made the other 2/3 of jump putts illegal instead