No; they ought to be able to get through most nursing programs.
Unless they have an actual learning disability (dyscalculia), there's no such thing as "bad at math." They may not be interested in math, and therefore they don't want to put in the effort it requires, but if they -do- put in the effort, they can do well, at least up through calculus or so.
Most nursing degrees require college algebra or statistics or both, but not any higher math like calculus. Neither is more advanced than high school level (algebra 2 plus trigonometry, or precalculus).
A tutor is a good idea to help explain the concepts a little slower than the college professor, and be more willing to answer questions; the professor needs to cover the planned material so will limit the number questions she will answer in class.