No, you will need to correct your Federal return and either continue to e-file or mail your Federal return.
States will not process your return without the Federal return being processed. They utilize the information on the Federal return.
If you do end up mailing your Federal return, you will also need to mail your state return.
The following link will assist you in fixing your Federal return for e-filing:
https://ttlc.intuit.com/questions/1901491-how-do-i-fix-a-rejected-return
