Can I still change my filing status after I filed with turbo tax? I should not have filed as head of household.

You will have to wait for now.  Once you e-file a return, you cannot get it back, cancel it, or make any changes to it. 

If you need to make changes or add information, you will have to wait until your return gets accepted or rejected to make any changes.  Do not make any changes to your e-filed return, it will not go through.  The IRS is not accepting returns until Feb. 12th, you will have to wait until then to see if your return is accepted or rejected.

If rejected, you can enter or change your information, then re-e-file.

If accepted, you would have to amend your return to make changes or add information.

Also, the Federal amended return (1040 X) will not be available until Feb. 28th (that can be subject to change.)