Not with the serial monitor. You can do it using a proper terminal programme, which you probably should have been using all along, and can be had for free. I use RealTerm.
You can then use bluetooth, best described by some guru around here as serial without wires.
You can do this using exactly the same programme as you are using now.
Since the environment may be a bit taxing, I think you would be best off using BLE - Bluetooth low energy.
Your problem starts at the study end.
I have never seen a PC with bluetooth installed. This is not necessarily a bad thing, but I am not aware of any BLE device for desktops - mainly because I have never looked for one. I have never succeeded in using my USB bluetooth in my desktop and I can't comment further on desktops
While most any laptop comes with bluetooth, I am not aware of any with BLE - for the same reason.
BLE is pretty common on phones these days and they are likely to be a better proposition than using a computer anyway. If you don't have the means for bluetooth reception in the study at the moment, I submit a cheap Android phone would be the best option - particularly if you can get one with BT4. I use a cheapo Huawei and Bluetooth Graphics Terminal
You may be able to risk $3.50 and try a plain-vanilla HC-05 to prove the point. They have a nominal range of 10m, and will go through an internal wall easily enough. You may find it works fine.
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