Except for the BAB I currently have everything I need to go into Arcane Archer. My question is if I choose the Alchemist does it count as an arcane caster for the arcane requirments?
No, Alchemists are not casters. You can take the Spell Knowledge Discovery to qualify, but it sounds like a bad idea since you won't be able to use Imbue Arrow with Extracts, and AA won't advance your Extracts.