In theory its possible, lots of factors will influence it. I actually did all the flying for mine in 8 days back in '83.
I had previously taken all the exams except air law which I did within the first 4 flying days.
This was in the uk, you don't have to go to the 'states!
I was very lucky, every thing went smoothly.I had already bought a plane ( the instructor didn't know that at the time), which was a taildragger (Jodel1050) and I was being taught on a cessna 150.
I managed to put enough hrs on the jodel with a friend (there was no requirement for differences back then) in between the lessons such that I was competent to fly the jodel from day one of licence issue.
I even managed a couple of loops in an aerobat within the training thanks to a very enthusiastic instructor.
I drove to Kingsway with the paperwork and got my licence over the counter .I flew the jodel solo within 2 weeks of buying it.
Its been a slow downhill spiral ever since!