BiffbarfBro, idk why this back and forth has been going on for so long but a completely plastic/composite ski isn't out of the realm of possibility, at all. Chevy's been using glass reinforced plastic leaf springs for the corvette for decades -point is carbon composites with plastic and steel will almost always be stronger and lighter than a wood component.
I mean yes, there is obviously a reason leaf springs are made out of steel or carbon composites and not wood, but again you are comparing apples to oranges. The other guy said plastic though, and nothing about any sort of added cloth. It is entirely possible to make a ski out of purely plastic, carbon fiber, or e- glass, is it a good or viable idea is another question. Based on the properties of those materials not being suitable to be used on their own in a ski, I would say no. Carbon fiber for example is extremely stiff compared to wood and would noticeably chatter a lot more than an average ski in most conditions (I've made a pair they are awful, don't do it). Plastics are typically as heavy per cubic foot as hardwoods if not more so (~40lbs+ depending on the material) and without an added fiber, plastics are weak as fuck. Any sort of molding you could do to increase the strength of plastic you can do with a lighter and stronger wood so there isn't a point. Those materials are also expensive compared to wood, so do you sell $1000+ park skis or do you eat the cost yourself? I personally don't know of a good core replacement as of this moment.