No, level 2 qualifications are not equivalent to an A level. Level 3 qualifications are considered the equivalent to an A level.
I have one currently.... I work in a job where the UK regulation for the industry still requires any manager to hold a fairly basic UK certificate for the sector, it's described as "Level 3 (job description) Manager" and that's equivalent to A level. It takes two weeks in a classroom, has an exam, and costs about 4 grand to study. The next one down is described as "Level 2 (job description) Supervisor". That's a 1 week course. There is also a level one, it's called "Level one (job description) operative / agent", and that's a 3 day course - so level 2 isn't quite entry level.
I do have 3 proper "2 year" A levels (Geography, Geology and Economics) earned in 1990, before anyone pokes fun. So there. 😄 And my GM and Director hold no qualifications in the role, but they're not in the UK so the regulation doesn't apply to them. It's a UK box ticking exercise.