No.
I thought Bluetooth 5 has up to 60 meter range but I goggled it found it actually has up to 240 meter range, not 100 meter range.
A closer look at the different Bluetooth versions, how they’ve changed, and how they affect your wireless listening experience.
www.headphonesty.com
I remembered back in 2015 my compute stick had Intel Remote Keyboard app on Android and server software on Windows 10, in 2018 Intel warned all customers to discontinued Intel Keyboard app for no reason.
Notice regarding the discontinuation of Intel® Remote Keyboard.
www.intel.co.uk
I googled further to find reason Intel Remote Keyboard was discontinued, it was due to 3 critical security vulnerabilities that let local attackers inject keystrokes in sessions. But Intel Remote Keyboard app and server used Wifi Direct, not bluetooth.
Intel said it is lights out for its Remote Keyboard app just as security researchers find three vulnerabilities that let local attackers inject keystrokes in sessions.
threatpost.com
So I googled "local attackers inject keystrokes in bluetooth sessions" and surprised to find article on 2 August 2022 Layakk CyberSecurity researcher discovered Wireless Keystroke Injection vulnerability in Bluetooth Low Energy (BLE).
A vulnerability in Windows systems that allows a remote attacker to impersonate a Bluetooth LE keyboard and perform Wireless Key Injection on its behalf.
www.layakk.com
I think the smart hacker used these tools to attacked OP PC by keystokes emulated OP's keyboard send strange message on OP screen.