It is possible to get an outbreak in a different location than the point of infection, but it's more likely that you'd get it at the point of infection. However, tiny white blisters don't sound like herpes. Google pearly papules. Maybe that's what you're seeing?
In any case, get it checked out promptly - if it is an infection, the sooner you can get in, the easier it will be for the doc to diagnose you.