Did I artificially inseminate myself?

 He didn't ejaculate onto my body or into me, and I washed my hands immediately after that and we showered.

 I used mainly 1 hand to give him a handjob, and a little of his cum accidentally dripped onto my upper wrist, somewhere near my elbow. I washed it with soap, but the problem is, I don't remember whether I washed the hand that I mainly gave him a handjob with or was it the hand that I didn't really give a handjob with. I touched myself after that (wash), just the outer labia, never inserted my finger. I'm just afraid that there is a possibility that I may have artificially inseminated myself??? 

Is that even possible? I'm 17. I am extremely sure that I washed both hands, but I just don't remember which hand did i wash with soap first and thus I'm afraid that I used the hand that i gave a handjob with to touch myself before washing it off with soap. Both hands are definitely washed with warm water, just that one is washed with soap first, then I washed myself (with idk which hand), then I washed my other hand.