Can I expedite my EIN application?
No, the IRS doesn’t provide any way to expedite your EIN application. However, if you have a US taxpayer ID (SSN or ITIN), you may be able to obtain an EIN within 5-10 minutes by applying online on the IRS website. See How long does it take to obtain an EIN? for details.
Some services claim or imply that they can expedite EIN assignment. Because the IRS doesn't provide a way to expedite EIN assignment, it's unclear what these services are referring to. It's possible they're simply referring to using the fastest available method to apply for the EIN (e.g. for those eligible to apply online, applying online instead of by fax or mail).