If you're willing to do laundry in your travels (lots of hotels offer drycleaning as a paid service also) then I see no reason you shouldn't be able to.
I often travel for weeks at a time with no more than a Skyway 'carry-on' model bag and my laptop bag, both of which are carryable onto all US airlines at least. If I were somehow restricted to one bag, I could stow my laptop in my carryon if necessary, but I'd worry more about it getting banged up.
I often travel for weeks at a time with no more than a Skyway 'carry-on' model bag and my laptop bag, both of which are carryable onto all US airlines at least. If I were somehow restricted to one bag, I could stow my laptop in my carryon if necessary, but I'd worry more about it getting banged up.