Yes — this is normal on many film cameras, including the Canon EOS Rebel T2. The top/status LCD is a simple low-power display that often remains visible even when the camera’s main power switch is off. It is designed to keep showing basic information such as frame count and whether film is loaded.

It should use very little battery power, so under normal conditions you don’t need to worry about it draining the battery quickly. Think of it more like a watch display than a modern digital camera screen.

If the camera is otherwise off and behaving normally, there’s usually nothing you need to do. Since you still have exposures left on the roll, it makes sense not to remove the batteries unless the camera manual specifically says that’s safe for your model.