Business courses are increasingly competitive to apply
into, because increasingly, everyone wants to be go into business
and finance as that's where all the money is; all other
non-business courses (with exception of prestigous courses such as
Medicine and Law) suffer dwindling enrolment.
Which means don't get your hopes up, but as Gunner mentioned,
you've nothing to lose so go ahead and apply anyway.
If you're really keen and serious about doing engineering
though, depending on the exact engineering course, you might like
to do private 'A' levels at the same time.
Recommended 'A' level subjects for Engineering courses
in University :
H2 Chemistry, H2 Physics, H2 Mathematics.
As long as you do well (ie. all 'A' grades) in these 3 subjects,
your 'A' level cert can be used both directly (if you have a full
'A' level certificate, which means you have to take GP and one
other additional subject as well), and indirectly
(discretionary admission criteria) to boost your chances of getting
into a relevant Uni course.