Thank you for your question.To be honest, that is a question that only the California Board of Nursing can answer with a definite yes or no.
Upon successful completion of their education in California, applicants who wish to be nurses must take the National Council Licensure Examination, complete an Application for Licensure by Examination, submit one set of fingerprints, provide a passport photo, and present any and all documents and/or letters explaining prior convictions or disciplinary action to the Calfornia Board of Nursing. Though you must tell them about the expunged record (while you do not have to provide this information to private employers, there are some exceptions, one being any time you apply for a state license), it is far better to say that your conviction was dismissed/expunged.
If the Board determines that an applicant has been rehabilitated, he/she will be admitted to practice. To determine whether the applicant has been satisfactorily rehabilitated, the Board will examine the nature and severity of the act(s) or crime(s), evidence of any act(s) committed subsequent to the act(s) or crime(s), the time that has elapsed since commission of the act(s) or crime(s), the extent to which the applicant has complied with any terms of parole, probation, restitution, or any other sanctions lawfully imposed, and evidence of rehabilitation.
It is possible (and from what I have read, likely, unless your criminal
charge is 10 or more years old) that you will be initially denied. But that does not mean you have no recourse. If your application is denied, you can appeal the denial (usuaing a lawyer familiar with these matters is strongly recommended) . It may be possible to receive a restricted or probationary license can often be issued as a result of a stipulated settlement or a fair hearing before an Administrative Law Judge. The restricted license is ordinarily for three years, sometimes reducible mid-term to two years. Many health-care institutions are prohibited by their liability carriers from hiring or retaining employees with probationary or restricted licenses, meaning it could be hard to find a job during this time. After two or three years, if you have no subsequent disciplinary or criminal issues, a full unrestricted license can be issued.
My suggestion would be if you are thinking of going into nursing, you speak with a criminal defense lawyer (many offer free or low cost consultations) about getting your record expunged and applying for a nursing license after graduation.