No. This form cannot be e-filed.
However, it may be prepared in TurboTax Business and mailed in, or you may print from the IRS website here: https://www.irs.gov/pub/irs-pdf/f7004.pdf
Instructions for Form 7004 are found here:
https://www.irs.gov/pub/irs-pdf/i7004.pdf
Please see TurboTax FAQ "How do I file an extension
for a corporation, partnership, trust, or estate (Form
7004)?" below for more information:
https://ttlc.intuit.com/replies/3301655
