Можно ли выучить английский язык до уровня В2, если у меня уровень В1? За год

A year is actually quite enough time for it. There is not a big difference between B1 and B2 levels. Mostly you just need to improve your grammar: learn to use different tenses that are not required at B1, learn some advanced conditional expressions, etc. Sure, you still need to get some new words into your vocabulary but it is sort of aside thing...