You can technically put touring bindings on resort skis, but you'll feel the difference on the uphill. Touring skis (also called AT skis) are built significantly lighter, which matters a lot when you're skinning uphill for hours. Every extra ounce on your feet compounds with each step.
The trade-off is that touring skis sacrifice some downhill performance. They tend to be less damp and stable at speed compared to heavier resort skis, meaning they can feel chatterier on firm snow. For short sidecountry laps near the resort, a hybrid setup might work fine. But for full backcountry days with serious vertical, dedicated touring skis will save your energy for the fun part—going down.
Also, make sure any ski you choose has a compatible mounting pattern for tech bindings, since not all skis are designed for them.