I installed the latest 64 bit 13.0 piCore on my CM4 module.
Disk /dev/mmcblk0: 29 GB, 31268536320 bytes, 61071360 sectors
954240 cylinders, 4 heads, 16 sectors/track
Units: sectors of 1 * 512 = 512 bytes
Device Boot StartCHS EndCHS StartLBA EndLBA Sectors Size Id Type
/dev/mmcblk0p1 128,0,1 127,3,16 8192 139263 131072 64.0M c Win95 FAT32 (LBA)
/dev/mmcblk0p2 128,0,1 639,3,16 139264 172031 32768 16.0M 83 Linux
No PCI-E M.2 SSD seems to be present. I'm suspecting there is missing drivers, but it works on raspbian.