Got in an accident yesterday, I have an interview today...

Actually unless a DOT certified cop does the long inspection form there is no PSP. The OPs biggest worry will be the MVR. No ticket = no MVR entry.

 

I hate to ask an otherwise obvious question, but you didn't see the low clearance sign before coming up to the bridge? Usually they're posted 1/4 mile away or further depending on the speed limit of the road.

 

Wouldn't he have had to get at least a warning of some type for it to show up on his PSP?

 

It is likely that they will verify your experience, including whatever you had done for this temp service. And when they do this, they send a form that will ask if you had any accidents or incidents or some such junk while you worked for them. You may have an issue when or if the temp service discloses the accident you had that you didn't tell the company you interviewed about.