Yes. There is a process in which the silk worms are not harmed when the silk is extracted. That process is called Ahimsa silk meaning peace silk.
Regular process of producing silk:
The production of silk is called Sericulture. In the production of regular silk, the cocoons are immersed in boiling water to kill the worms and spool the silk yarn. This the ...
The Wikipedia page you reference also lists more ethical alternatives:
Breeding programs to reduce susceptibility
Topical protein-based treatments which kill wool follicles and tighten skin in the breech area
Biological control of blowflies.
Plastic clips on the sheep's skin
folds which act like castration bands, removing the skin (breech
I was in this situation a couple of weeks ago and I came across this brand, Veja
Not all their shoes are vegan but they have a nice vegan selection and it is possible to find them in some physical stores.
P.S. I am not associated in any way with this brand.
I would like to mention 2 links I found on google and their caption and info here as an answer to your question.
But We are not sure whether the product is available in your country or not.
It depends on the manufacturer.
Elmer's does not make glue from horses or use animals or animal parts. Our products are made from synthetic materials and ...