Blank statement, probably not. A Basis report, maybe, but doubtful.
As far as I know, the IRS e-file system is not set up for directly receiving a Basis statement. Assuming that is still the case, the Basis statement would need to be attached by PDF. But TurboTax does not allow PDF attachments.
While I can't say for sure what TurboTax will do in the future, this has been a requirement for a couple of years now and TurboTax has not done anything about it (and has been allowing its customers to e-file incomplete tax returns, with the Basis statement).
