The short answer is No.
Having two resident scanners installed is not recommended as rather than provide twice the protection it can cause conflicts that could leave you more vulnerable.
Whilst you may get away with it for a while, low level drivers will at some point clash and this could cause the system to lock up, if this happens during boot you could be locked out.
If I was using it (extremely unlikely) and there is something wrong with Norton 360, there is no way I would wait until the license period expired before getting shot of it.