Yes, you can definitely do that. If you'd like, I would recommend you e-file your federal return (to get your refund much faster) and e-file both states later. The reason is that if you pay taxes to one state, you may get credit from the other state for taxes paid. I've added instructions on how to e-file that IRS return now and return to the states later.
A lot of people do that so they can use their federal refund to pay their state taxes.
As long as any amounts due are paid and the returns are sent by April 15th then you won't have any late filing penalties.
You can review the instructions below on how to e-file your federal and return to that state later:
https://ttlc.intuit.com/replies/3374295
