Would I be able to take Level 2 Engineering Maths if I'm not in the Engineering faculty because the only requirement for 2Z03 is 1ZC3 and it's assumed that you passed 1ZA3 and 1ZB3 but it doesn't say anything about the fact that you need to be registered in Level 2 Engineering.

I have Math 1A03+1AA3+1B03 which are all the exact same as the Level 1 Engineering maths but different course code (same assignments, same tests, same exams). And yes I'm aware that Math 2A03 and 2C03 exist.

Ask the prof for permission, assuming they have enough space in the class.

I think the better option would be 2x03 + 2xx3.

Why would you voluntarily want to take Z0 and ZZ? They are awful. I think there are two science anti-reqs that cover similar topics