You can, but it's a risky choice if you're heading into the backcountry. Packs with an integrated setup have no separate compartment for avalanche gear, so your shovel and probe just float loosely with everything else. In an emergency, you'd be digging past extra layers, snacks, and water to reach life-saving equipment. Every second counts in a rescue, and fumbling through a packed bag costs precious time.
This type of storage is really only appropriate for in-bounds resort skiing where avalanche gear isn't needed. If you're riding anywhere out-of-bounds, a dedicated front-access avalanche pocket is non-negotiable. It keeps your safety gear instantly accessible and separate from the rest of your load.
If budget is a concern, there are affordable backcountry packs with proper dedicated pockets — it's not a feature worth skipping.