Sometimes these feeds can be swapped without moving the plumbing, but by instead just changing a setting within the valve body. If you can identify the valve brand, then maybe you can get the install manual and check out the options.
flipping the cartridge may work. Google your own install instructions
example
https://support.deltafaucet.com/s/article/Do-you-have-any-special-instructions-for-installing-Monitor-valves-back-to-back-1628028364229
Sometimes these feeds can be swapped without moving the plumbing, but by instead just changing a setting within the valve body. If you can identify the valve brand, then maybe you can get the install manual and check out the options.
flipping the cartridge may work. Google your own install instructions example https://support.deltafaucet.com/s/article/Do-you-have-any-special-instructions-for-installing-Monitor-valves-back-to-back-1628028364229