In a word,
NO
The reason they are asking you to pay up front is because the bank won't lend them dosh so they're asking you to do it instead. I would absolutely avoid doing this at all costs.
What happens if they go bust ? What happens if you fail the medical ? What happens if you get airsick really badly and can't carry on ? What happens if their aircraft go out of service for several weeks or months ? What happens if all of the instructors leave ? What happens if the airfield closes ? What happens if the price of AVGAS continues to sky rocket and they can't honour the commitment anymore ? What happens if they take on to many students and you can't get flying time anymore ? What happens if you have to drop out due to work or family commitments ?