A fine (and logical) guess but I don't believe it does. Thinking back to Fast times, the only place it would have appeared would have been a scene in the mall. After all, most of the action takes place in and around the school and the mall (of course there are more sites like Jefferson's car..."First he's gonna shit, then he's gonna kill us!!!!" LOL). Obviously, the restaurants, convenience stores and I would be dead or gay not to give special recognition to the famous Phoebe Cates scene (Moving in Stereo!) but none have arcade games leaving the mall the only place where Pole Position would possibly appear. I don't think it does.
Not the answer I have, in any case. Mine is going to be much more a "ah crap...that is it" moment.
I'll let it hang to be answered for a while.
Purely a guess. Does the Pole Position game appear in Fast Times?
Here is a new one:
What does the official video for "Freewheel" have in common with "Fast Times at Ridgemont High?"