Yes it should be fine, and the 4670 doesn't require a +12v connection PCIe.
Although, as cheap as PSUs are he'd be better of getting a better PSU that he can easily upgrade his card to something else later... (like a 4830 for only $85 after MIR)
Although, as cheap as PSUs are he'd be better of getting a better PSU that he can easily upgrade his card to something else later... (like a 4830 for only $85 after MIR)