No. The Nintendo DS (all models) has a non-removable, integrated shell. It houses the hinge mechanism, ribbon cables, buttons, screens, and motherboard mounts—removing it requires desoldering and almost certainly causes permanent damage.
Cracked hinges are common on DS Lite. Temporary fixes: clear nail polish on hairline cracks, or 3D-printed hinge brackets (advanced). For severe damage, a donor console shell swap is the only real "repair"—but it's a full teardown.
Stick to skins and cases. They're cheap, reversible, and risk-free.