Screen controlled via arduino and android

I was thinking about a project to control a tv using an arduino with bluetooth and an android phone. The idea is based on an emulated hdmi output on the android phone: the hdmi output data would be sent via bluetooth, thanks to an application. Arduino shold be able to convert bluetooth data into an hdmi output for a monitor. In conclusion, how long would it be? I’d work with two or three friends for three hours a week (more or less). Is the project feasible? How much would a prototype cost?

Arduino shold be able to convert bluetooth data into an hdmi output for a monitor.

I'm listening. Please explain how? While you are at it, please explain how much data you can transfer per second at 115200 baud.

Is the project feasible?

No.

Your title and your description are not the same.

If you just want the Arduino to switch something on or off it is probably feasible - but you need to provide a lot more detail.

If you want to send video data through an Arduino the answer is NO as @PaulS has said.

...R