Maybe not. It would take a major breakthrough in either
- quantum computing (which no one seems to be able to make work yet)
- cryptography (possible, but by no means guaranteed that some major flaw lies undiscovered in the algorithms in use)
If we’re talking about brute force, it’s just not likely to happen. My favourite illustration of that, is that the sun will not produce enough energy to advance a 128-bit counter all the way from 0 to 2^128 before it burns out. Nevermind doing any calculations with the number - just count that high. A perfectly efficient Dyson sphere powering a perfectly efficient 128-bit silicon-wafer register, and the sun would burn out before it counted that high.