If its one of the big three CTC or FTE in particular.
You should be fine, providing you do well in your ATPLS and flying. If you do bad in your ATPLs you will struggle getting a job at a big flight school.
A lot of guys don't have degrees or A Levels in these flight schools in my experience, some do a lot don't.
You can't predict the job market, so do well in your ATPLS and first time CPL/IR.