HELLS NO!!!
alright now lemme tell you from experience why.
for a while i didn't think anything of it and generally drove my own car all the time, but about two years ago i had been with my girlfriend for about 4 months and we drove up to camp in lake tahoe. i was kinda tired and so when we pulled over at the gas station we switched up (now at the gas station we ordered subway food and ate it on the lawn of a hotel across from the gas station, she was all over me as usual and we made quite a scene on the lawn there). however i sense a total mood change by the time we get where we're going. it's like giving her the keys made her mad. not only that but chicks cant be their normal happy selves when they are in the drivers seat, it takes way to much concentration. they don't like this role-reversal and i guarantee you won't like it either.
when you are driving things will go smooth, IL will remain high, and you get to keep your power.
when you give up the keys, no matter how innocent it was or how tired you were, its literally "putting her in the drivers seat" and like any other form of giving women power it makes her irritated and you unhappy.
keep your power always.