I received this reply from Taxslayer. 

To the best of our knowledge it (Form 7202) is allowed to be e-filed.  We have found no information to the contrary at this time.  As the form is new, we are still waiting on the final specs from the IRS, so that could change, but as of now we believe so. 

@SDJayhawk Can you give us a citation from the IRS which makes a determination regarding this?