Can I play Empire: Total War with keyboard & mouse controls on iOS?

Yes. You can play Empire: Total War with any iPadOS-compatible mouse and keyboard (mouse and keyboard support is not available on iPhone). The keybindings match the defaults of the desktop release and cannot be edited.

Note: On some Bluetooth keyboards, the Escape key may also act as a Home key. Where this is the case, F1 may also be used to pause the game and escape from menus.

Apple iPad Magic keyboards lack both Escape keys and Function keys. To set a key as Escape when using an Apple iPad Magic keyboard: Open the Settings app on your iPad

Tap General
Tap Keyboard
Tap Hardware Keyboard
Tap Modifier Keys
Tap Caps Lock key (recommended)
Tap Escape to assign the Caps Lock Key as Escape