Android phone Bluetooth Mouse/Keyboard app?

I hate to create a new thread with similar questions as others but none of the other threads seem to specifically address my question.

Is there a way to use the android phone to emulate a bluetooth keyboard/mouse functionality that simply pairs with other devices. I know there are many client/server applications but with regards to Fire TV Stick I just want to use the setting.apk and pair my phone to it. I have searched high and low but can't seem to find anything which makes me believe there is something inherent to that feature I don't understand which makes it not possible.

I have several apps sideloaded to Fire stick (Xfinity TV) requiring mouse and keyboard functionality. I can't find an efficient way to do this with my phone instead of buying more hardware (bluetooth keyboard/mouse).

Thanks!