It is perfectly possible to do the PPL in 28 days. I did mine in 17 days (that's all I could get off work). I did it in Florida where I got a JAA PPL. The only thing I would suggest is doing the ground school exams before you go so you can concentrate on the flying without having to worry about book work. That's what I did but some others didn't. So yes, it is perfectly achievable.
When I got back to the UK, I joined a club, expecting to do hours of instruction, but all I needed to do was the usual check out ride with one of their instructors which took less than an hour and I was good to go solo with their aircraft.
It cost me all up about £4000. I took travellers cheques with me to pay for the course rather than wiring the money over before I got there. I had no problems.
Loved my time in Florida, enjoyed the flying, would do it all again.
Cheers
p.