But is it even possible to do?
As said, no.
Three ways to do this:
1. The agency gives you the encryption keys. And that's not going to happen. Giving away encryption keys would eliminate any value of going encrypted in the first place.
2. Magically 'guessing' the key. Mathematically unlikely to happen. Plus any good agency will roll their keys periodically.
3. The radio being able to break the code. That violates laws. It also requires huge amounts of computing power and more time than you'll have on earth to accomplish. And in those decades it would take to break the code, the agency would roll their codes and you'd have to start all over again.
Any reputable agency should be running AES256. That's not reasonably "breakable", not in any reasonable amount of time, not with any reasonable amount of computing power, and absolutely not for $1000.
The encryption hardware is also heavily regulated by export laws, so that would make things difficult for the scanner manufacturer.
As for agencies giving out the keys, there's been some hobbyist wet dreams about "upstanding citizens" or those with ham tickets getting some sort of special access to the keys. That would never happen and would violate all kinds of standards that agencies are required to meet. And encryption keys cannot be simply lifted out of a borrowed/stolen radio. It's not something you read with programming software.
There are some very low security encryption algorithms that can be broken fairly easily, but agencies shouldn't be running those. The FBI/DOJ standards have some very specific requirements about which algorithms can be used.