I would recommend asking the potential professor. OChem II was a pre-req for biochem at my college, and there is NO WAY in h*ll anyone would have passed without OChem II. Too many mechanisms that depended on knowing OChem II. Our exams were lengthy, NO multiple choice, all written essay and reaction mechanisms, and extremely detailed. No one ever finished an exam before time was up. I'm a chem major and I worked my *ss off in this class (made PChem appear simple in comparison!)
On the other hand, I have a friend who FAILED OChem II (failed like no hope of passing even if she had gotten 150% on the last TWO exams!). She took Biochem at a state university during the summer and got "an easy A". Her exams were multiple choice, scantron, and extremely basic. Said she didn't really use any OChem stuff at all.
Bottom line - ask around where you are.