You can apply for expedite request but you will have to provide proofs of your claim from one of the options that you choose as the reason for ‘expedite’.
Most of the time, people choose ‘Financial Loss’ as the reason.
But, proving it is difficult as the salary loss or job loss is not usually considered by USCIS as valid reason for expediting your EAD request out of normal processing.
I have explained it in detail here:
Expedite request with Congress Member
The chances of expedite request acceptance are higher when congressman requests it on your behalf.
Once, one of my close friend got his EAD approved on the LAST day of his EAD expiry when congressman intervened.
His expedite request was denied by USICS earlier for same ‘Financial reason’.