Literally everyone does, it's the definition of work, and you may or may not have to give more of it to get a desired standard of living. (Unless you don't have to work because you're filthy rich or connected.)

The question is, how well can you sell it and whether the conditions are otherwise acceptable.

Anyone who draws income via rent-seeking does not trade time for money.

Your landlord, most of the time (i.e. when they're not repairing or maintaining their properties), is not trading money for time; they are charging you for access to materials which, moment to moment, costs them nothing.

Patent trolls make money without trading away their time -- you work to pay for access to an idea, which costs them nothing to maintain.

One could go on and on with examples of widespread rent-seeking fields of work and industry; but in general, no, it isn't literally everyone who trades time for money.