Yes for sure, but this is on top of the certification process. You can ask to undertake the next step, but if your peers don't think you're ready for it, they won't teach you - but they will engage in steps for you to meet the required standard to start.
As to the 50m qualification. First you need to complete Dive leader (DM) by which time you will have learnt and carried out planned deco dives under training. then you have to make 3 depth progression dives. Again if you're not ready/wrong attitude you won't get to carry out the dive.
Not all BSAC training is done in a club environment.
You can pay money to do the dives. And bsac are not known for being either the best of the safest divers either. 50m on a 15l and a 3l pony is very common for both their students and their instructors.
There are other issues with the club environment which I'm not going to go into here as it's well off topic. But the idea they produce the best divers is laughable.