It is possible, however chances are much less than during an outbreak. There is something called 'viral shedding'. As skin dies, the shedding can contain the Herpes virus.

Dingo is correct. You can, but try not to be super worried about it since there is less of a chance that you can get infected when there isn't an outbreak. The only way to avoid contracting the virus at all is by not kissing anyone, and that doesn't sound reasonable to me.