In case of emergency: I think you can make an appointment with the USCIS center and provide the application along with the proof that it is a real emergency for example hospital notes or such. Remember emergency advance parole is for single entry only while the regular is issued for multiple.

I applied my Ap for multiple entries and it has been very useful! So I'm waiting and hoping that TPS gets extended so that I can apply for AP again and travel to Nepal and some European countries!

I'm based in Texas to I have sent most of my application to Dallas lockbox