It doesn't hurt to try, but I do not recommend it all. AS an RN in a cancer center, your skills are going to be needed to administer chemo, start IVs, etc. And these both are skills that do not develop overnight, but with some time. I highly recommend that you get a job in a hospital for a year, even on their oncology unit, so you get a better orientation to what will be your required skills for throughout your career.
As we keep saying here, your training in school doesn't prepare you to go out on your own right away, but gives you the basic steps to go on with your career. Your real training is going to begin when you start your first full-time job with an appropriate orientation. There is just so much to learn. Don't sell yourself short and miss out on it.
Just so that you are aware, any new facility, usually likes to hire with experience, so that they can open their doors quicker with a trained staff and not having to wait months for them to get thru orientation. With experience, they just require an orientation to the facility's procedures but not how to actually do things.