Looking to display items with a filter option on the side, but don't want to display prices, sku, etc.

I am looking to display items with a filter option on the side, but don't want to display prices, sku, etc.

Exactly how this site is displayed: https://sastairs.com.au/collections/stair-types?filter.p.m.custom.open_closed_stringer_filter_=Central+Timber+Stringer&filter.p.m.custom.open_closed_stringer_filter_=Closed&filter.p.m.custom.open_closed_stringer_filter_=Inset+Cut+Stringers&sort_by=created-ascending

Would that be custom code? No code? Or is there another way to display this?

Yes. It requires the code. You can use Universal Filter Plugin (affiliate link) or this link (non-affiliate link) to achieve this. If you need a demo, you can let me know which filter you want to create, I can do a quick demo for you. (I'm not plugin author)

Is there any way to do it without a plugin?

Yes, but will be quite manually. Assign some tags for all products, then use code to Add a Filter (not dropdown) to top of product page