TheBeak - I did indeed state the obvious. Short and sweet and got to the point, which makes a refreshing change on this forum!
It is certainly possible and there are many individuals that have come out of flight training, not got a flying job and haven't ended up with the bailiffs knocking on the door of their parents homes.
Suggestions of a job you ask, well I am lucky that I work in a Science Department in a school. Science teachers (especially Physics teachers) are much sort after. I still always get my local job paper (which is considerably thinner than usual for obvious reasons) but it always always advertising for teachers, cover supervisors and technicians.
I DO recommend getting a profession before commencing flight training. However make sure it is one where their are jobs readily available.