No it would not, its a totally different technology and only works over copper cable from equipment in the exchange.
Your only solution would be to pay for a copper line, and ADSL, if that is available at your house.
The fact that you have FTTP, could mean that there are no copper routes available, and Openreach have decided to just install optical fibres into the houses.
I am surprised the FTTP is giving issues, unless ther is a bad fibre splitter or joint somewhere.
Are you sure you have FTTP and not FTTC?
I assume you have the Openreach fibre modem, are you using a BT home hub as the router, or another one?
Is your gaming computer connected to the router using an Ethernet cable, as wireless is no good for gaming due to increased latency?