The Indian and Japanese traditions of wood block fabric stamping have come up many times in the last three years. Lots of it wishful thinking and boy wouldn’t it be neat. There have been some documented attempts at stamping with many different materials, including rubber, linoleum, wood, and special stamp materials.
@cynd11 has had several nice posts of her success with small stamps and laser polymer.
What you need to do is search for wood block print and stamps. These will get you started on where we have been before, including some examples.
Here is one of the many topics that touches the craft/art.
I have a 10x8 Kelsey letter press in my garage that wants rollers, trucks and j-hooks. It’s in beautiful shape, pining for attention.