Legally speaking, it is not allowed by the IRS, according to their requirement on Responsible Party -- "responsible party" is the person who has a level of control over, or entitlement to, the funds or assets in the entity that, as a practical matter, enables the individual, directly or indirectly, to control, manage or direct the entity and the disposition of its funds and asset
On top of that, if you used this method, you need to make sure that the Responsible Party be changed back to you once the EIN is secured, by filing any form and mail it physically.