No, it is completely unnecessary. 128 bits of security is already fully sufficient. A quantum computer that can implement Grover’s algorithm only reduces AES-256 to 128 bits of security. If you took all the energy output of the entire planet and dedicated all of it to this single purpose, you would only able to search 2^122 after 10 years (note that for every increase in the exponent the number of operations doubles, 2^123 is twice as much as 2^122, etc)[1]
The only reason AES-192 and AES-256 exist is because a requirement for standardization by the US government was three security levels[2] (think confidential, secret, and top secret information, they love these distinct levels of sensitivity). Now, the existence of AES-256 is convenient also for post-quantum security as it will provide 128-bits of security, but there is no real need for 256-bits of security. 128 bits will not be breakable in our lifetime.
AES-512, which would provide 256 bits of security, would only be necessary if you want to make an attacker need to contend with the laws of physics (if you converted the entire mass of the solar system to energy used for a perfectly efficient machine it could only power 2^225 operations[3]). That is certainly beyond the needs of human beings. A need to go beyond that to AES-1024 (512 bits of security against a quantum adversary) has no basis in reality. Quoting Bruce Schneier in Applied Cryptography: “brute-force attacks against 256-bit keys will be infeasible until computers are built from something other than matter and occupy something other than space.”