This is actually not even necessary. The systems are similar enough it'll just work. I have recently swapped an SSD from a laptop to a newer model with CachyOS, and that was more of a generational jump in terms of cpu and other hardware.
But CachyOS has a quirk. Linux systems specify which partitions are mounted to which directories in the /etc/fstab file. Unfortunately, the boot partition is specified using a device name and not a UUID. this is problematic when switching an SSD from a system to another as this may very well change device names. It did for me and I then had to rescue boot + chroot to fix it.
The fix, if done before, is trivial: edit the line for /boot in that file to start with UUID= (followed by the actual UUID of the partition) instead of with /dev/nvme0n1p1 or whatever the current device name is. Google should be able to tell you how to find the UUID of your boot partition.