To put it simple: with increase in bitcoin price the value of gas fee rises. Could it decline the profit in bitcoin investment to the extent when we are not able to pay the
The Bitcoin network is not the same as Ethereum or other networks that charge a gas fee for their transactions. Bitcoin charges are by SATs, which are called transaction fees and not gas fees. When fees are high, I think sometimes it's just a benefit to the miners, which makes them a little richer, but that doesn't in any way reduce investment profit. Although there might be a price decline because of the high fee to execute transactions, most people might not want to transact, and a few might want to sell out of panic.
If a can decode the real question OP is trying to ask, I think it's about if the increase in bitcoin price after halving can cause an increase in the gas fee otherwise known as transaction fee, the miners are the ones that determines the transaction fee for each payment we made and this depends on the difficulty rate and which is determined by the hashrates, the order of transactions confirmations every 10minutes and how the mempool is being congested, which will now determines the fee rate each transaction will need to get confirmed before others but increase in bitcoin price is bot the direct determinant for the increase in gas fee.