No. If you already filed once, any additional attempts to file (anywhere) will be rejected by the IRS. If your return was accepted on another site, Turbotax is not going to be able to file your return if it was already accepted. Each taxpayer can only file one tax return per year.
If it was rejected at another site it is going to also be rejected at TurboTax unless you are able to address the issue that is causing the rejection. We would be happy to help with that if you could provide more information.