Can I install GNU/Linux on a FAT drive?

Out of curiosity, is this possible nowadays? I remember some old Slackware versions did support FAT root partition but I am not sure if this is possible with modern kernels and if there are any distros offering such an option. I am interested in pure DOS FAT (without long names support), VFAT 16/32 and exFAT. PS: Don't tell me I shouldn't, I am not going to use this in production unless necessary :-)