You may want to check out whiteblaze.net and search for this topic. The consensus is yes you probably can do, but why?.
IMHO For the east coast, this trip is about as good as it gets,once you clear White Cap. Lots of lakes and streams to swim in and all sorts of great campsites. If you only have four days, do half of it and enjoy the trip, then come back in a year and do the other half.