Kitty doesn't support the native emoticon screen. It doesn't allow to change this. It also isn't coming soon. (</https://github.com/kovidgoyal/kitty/issues/1508)>)
My workaround for now is to just map Ctrl + Alt + Space to the Globe/FN Key with Karabiner.
{
"description": "Map Ctrl + Alt + Space to Globe Key (FIX Kitty Emoticons)",
"manipulators": [
{
"from": {
"key_code": "spacebar",
"modifiers": { "mandatory": ["left_control", "command"] }
},
"to": [{ "key_code": "fn" }],
"type": "basic"
}
]
}