No.

I could end here, but the forums wont let me, so I'll add a bit:
As a semi-serious PvP-player I'm seeing enough clueless people already that are only there for quick tomes/light or recently the garo-mounts. I dont want to hear a reply like "Oh, I'm just here for the exp, so leave me alone". Its already bad enough when people dont use their PvP-skills and now you want to add them not knowing their actual skills to that? Just... no.

Seriously: You're trying to have it at all, but sometimes in life you gotta choose one or the other. PvP and PvE are two seperate things and they're getting mixed up badly enough already. Please, please keep leveling out of PvP! This is nothing but a terribly selfish request. Make your pick - whats more important to you?

Oh and: just do Fates while you're in queue - those 10-30 minutes of the actual match shouldnt hurt your leveling progression to much. There are plenty of other ways to level fast, PvP should never become one of them.