...for what it's worth, I don't know that I would've given the same answer 10-15+ years ago.
So much has changed, everything from the acuity of patients who are deemed sick enough to have someone pay for nursing services all the way to companies' relationships with employees. And everything in-between.
But "caution" could've been my middle name, so my $.02 comes with that grain of salt.
The most likely scenario where I would see the OP's wishes being possible these days would be a small hospital where there's still some semblance of employer-employee relationships, and the ability to work full time for at least enough of a period of time to get footing (say, work FT or nearly-FT hours for a few months in order to be oriented properly, get the lay of the land, and be minimally comfortable with the care requirements). What I wouldn't try is working now and then while starting as a novice for an employer who already had the extra revolving doors installed...