Now I did this forty years ago and did it out of desperation.
I have a Virginia Creeper that was totally, and I mean totally, infested with spider mites.
Nothing worked so one day I took a can of either Raid or D-Con, do not remember which and sprayed it, probably too heavily.
Well the Virginia Creeper showed signs of heavy stress but it came back and is a pain in the butt as it gets out of control on the house but I have never had spider mites again.
If I had t do it again, I would not literally soak the vine as I did that time but use a fine mist till the mites were gone.