Well, those schools are not JAA schools so they cannot give you a JAA PPL directly. As the audience in here is predominantly (though not exclusively) a European audience, you might want to try one of the more US-centric forums to ask your question.
As for a PPL in two weeks: yet is it is possible provided that:
- You have studied all the theory beforehand and preferably done all the theory exams beforehand.
- You lose no days because of bureaucratic issues like TSA fingerprinting, doctor visits for your medical etc.
- You have excellent weather throughout.
- You are able to cope with three flights per day, every day, an hour or more each, plus preparation, brief, debrief.
- You are prepared to have no life whatsoever outside the flight school for two weeks straight.
- 45 flight hours are enough to prepare you for the skills test - in other words you've got to have normal aptitude and not overrun the 45 hours requirement.
- You pass the skills test first time
- There are no aircraft going tech
- There's excellent instructor availability and examiner availability
I met virtually all of these requirements, and yet found it challenging to finish in 21 days.
But hey, why not enroll on a 14-day course but simultaneously make sure your financial, vacation, accommodation and travel arrangements and so forth are all flexible so that you can overrun to 21 days or more? Who knows, it might just work out.