。
Could you take a picture of me?
Literal
I [of-の] photo [object-を] take-[give-ませんか].
写真を撮る ('to take a picture') is the standard expression — 撮る ('to capture on film') is the specific verb for photography/videography, distinct from 取る ('to take'). 撮ってくれませんか is the standard polite request form ('won't you give the favor of taking...?'). The 僕の写真 ('my photo') here means 'a photo of me,' using の for the object-of relationship.