Yes you can
I had my passport expedited both ways which means it was rushed to the front of the line, completed quickly, and mailed to me all in one week. That's not a guarantee for everyone, just how long it took for mine. That cost $187 which you must pay via check plus the processing fee (which you can pay with a credit card).
Yeah they do do expedited orders. They have a process for it though and you need to pay extra for it. I believe they still need a few weeks or so to get it all processed cause normally it takes a couple months or so. You can call them and ask what you need to make it happen.
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