Depends on the percentage. If it's something like 0.5% it would be permissable since certain foods, namely bread, contains about this much (it's actually a by-product that is produced during bread-making).
If it's a pint of alcohol you're rubbing all over your body then that's a big no no.
Well during the caliphate, there was a persian doctor. Hes name was Razi, he came up with using alcohol to clean wounds, and to wash away bacterias e tc.
And if it was possible during the caliphate it must be possible still?