It's possible, though we don't have studies to give you an exact number. Getting herpes from any kind of one-time encounter when someone has no sores isn't likely, though.
Do you know if you already have type 1? A large portion of the population has it and 90% will never get a cold sore, so it's possible you do and don't know it. Ask your doctor for a type specific IgG blood test to find out. If you already have it orally, you probably won't ever get it genitally, so long as you don't receive oral sex with someone with an outbreak.