Yes, although you most likely would need to pay for exam entries and tuition costs yourself as you already had a level 3 qualification. Note also some A-levels might have additional costs, e.g. the science endorsement for science A-levels which is very expensive.
Might be better to aim for A-levels from the outset, or aim for something between the two (like BTECs) and then if you want to continue down a more academic route to a degree for example, look at courses with a foundation year or similar.