No. Most of them only have a limited range.
Many will not tell you what else is available, either because they can’t get such a good margin on it or because they can’t be bothered.
If you see something here that you like the look of, buy it direct if you can.
If you can’t, instruct your undertaker to get it for you.
If, say, it’s a wicker coffin you want, make absolutely sure your undertaker gets it from the firm that sells the one you like.
There are lots of cheap versions out there with a flimsy, loose weave which offer your undertaker a bigger margin.
Wicker/willow coffin by Cath Pratley based in Dorset. You can go and help her make it if you want to.