If you are an EU citizen then I think you pay the same £9000/year tuition as UK students to go to an English/Welsh uni (Scotland is free for Scottish and other non-UK EU nationals). But you will also have to factor in living which is ballpark £6000 a year. So yes in theroy an FI job would probably cover this.
However I'd be worrying about committing the time. Having just done an Engineering degree myself I can safely say it is a full time job and then some! I barely had an evening, let alone a day off towards the end of 4 years.
Of course its up to you, nothing is impossible and impossible is nothing
Best of luck.