There is a cash only wholesale deal that I have found. They want offers with proof of funds by Weds at 3pm (about 2 days). Is this something that is even possible with hard money if I start the process asap?
Depends on your relationship with the lender. The time to start building that relationship is now.
Ideally, you want your financing to be lined up ahead of time to avoid a situation like this one. But there are a lot of nationwide (big time) hard money lenders that would still lend on the deal. It might take a few calls.