Scutter beat me to it, but Indiana law says yes, if she's applying 30 days or less before her current permit expires:
IC 35-47-2-6No idea whether any particular LEO might know about that statute, but it is what it is and says what it says.
Granting or rejecting initial application; renewals
Sec. 6. (a) Every initial application for any license under this chapter shall be granted or rejected within sixty (60) days after the application is filed.
(b) The period during which an application for the renewal of an existing license may be filed begins one hundred eighty (180) days before the expiration of the existing license. If the application for renewal of an existing license is filed within thirty (30) days of its expiration, the existing license is automatically extended until the application for renewal is passed upon.