They should do, but you should check uni prospectuses for the course entry requirements.
I looked at doing marine biology courses. Most said you needed 1 or 2 relevant science a-levels and some of them included human biology on the list !! I think msot people would agree that human biology is closer/more relevant to biochem than marine biology !?!?
Where you might be disadvantaged is that it appears you will only have 3 a-levels. SOME of the people who apply, also apply to medicine and have something like 4.5 alevels that are all A/A* !! Although because their PS is aimed at medicine I think some of them don't get into the biochem choice.