Can I travel with a provincial offence?

Hi there,
I was given a trespassing fine of $70 last year, paid the fine online, just like a speeding ticket. I know POA offences are not criminal and are minor, but are Canadians aloud to trael to the states or anyhere else with a provincial offence conviction??? I.e. plead guilty to the charge and paid it. Please help, I am planning my honeymoon!!