The short answer is yes.
The long answer is yes, but....
Whether a cordless will work for you depends on what you want top accomplish with it. To rub on paint you need to do work and to do work you need to have power. Corded (and pneumatic) tools can deliver a great deal of power and do so for extended periods (i.e. accomplish work). Cordless tools are extremely limited by the amount of energy that can be stored in batteries. They can only do a small fraction of the work a corded tool can.
To accomplish any kind of restoration, removing swirls, scratches, etching, etc. requires a great deal of work, far more than handheld batteries can store and deliver. No hand-portable cordless can perform any significant defect removal so you're limited to applying waxes and glazes that don't need to be worked heavily.
If all you want to do is save your arms when applying waxes and glazes (and apply them very thinly and evenly) then maybe a cordless is the right tool for you. If you need to deal with defects you'll have to do those by hand or get a corded tool.
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