Nope. That's the whole purpose of the key - to make sure it's you. You need to do a new app, and find a safe place to store your key file. (I have mine on a cloud drive)
I had this same problem where I thought I'd lost my key after reinstalling my machine and had to create a new one for posting new apps. Thankfully before I had to update one of my old apps, I found my old key in a backup. But now I have different apps with different keys. Learned my lesson so store them in multiple safe places.
When I first started doing CIQ development, I didn't appreciate the importance of this key. And it just always worked since it was from the same machine, I never paid too much attention. Reality, is though, this is no different than every other important document on a machine. Backing up is never important until you lose your data.