Any analog delay is an analog sampler, in essence, it simply doesn't retain the samples.
Yes, there are analog samplers, based on analog delay chips. I have one. It's an electronics kit similar to this one: http://www.elecfreaks.com/2215.html
My one is older than this (about 1999 I bought it) and it states in the instructions that the chip recording is an analog process, not digital - I will try to find the instructions. I built a doorbell out of it that you could record six different doorbell "chime" messages - most of them were Bugs Bunny cartoon samples, or "Lurch" from the Addams family saying "You rang???
The quality is very analog delay in quality - somewhat muffled but not grainy like a low sample rate digital sampler - a lot smoother, like a tape recorder.
Casio: FZ1, CZ101, PG380, VZ10M, SK8, SK60, RAP10, DP1 drums, DH100, CDP200, DM100
Yamaha: TX81z, TX802, SHS10, DTXv2
Roland: SH101, DR660, MS1, PM16, TR33
Others: Korg MicroKontrol, ES-1, Alesis MMT8, Emu ESi2000 & card reader, BCR2000, V-Machine