terrible idea since your nursing adviser won't know much about pre-med except that they don't recommend it, emailing your dean, who hates the fact that nursing pre meds exist, for course overloads time and time again isn't too fun (because there's literally no way you can do without course overloads even with full summers), and you'll have about 4 professors in total who you can get a science LOR from. + nursing sciences are easier, but to get As you still have to study a decent amount so it's easy to damage your gpa and there's very little flexibility in a nursing schedule.
But depending on your school the sciences may be different. All of my lower level sciences were under bio and most schools have transfers taking gen chem I & II so you could take that instead of the nurs chem (though for us the prefix was chem as well) so it could count towards your sGPA depending on how your school lists the courses (basically jr/sr year won't count towards your sGPA).