If the trade has exit levels (Stop Loss and Target Profit) then yes. However I would not advise to turn off, as the signal provider may have some trade management going on (i.e. change SL and TP levels). If your MT4 terminal is off, you will not copy the management of the trade.
HIGH RISK WARNING: Foreign exchange trading carries a high level of risk that may not be suitable for all investors.
Leverage creates additional risk and loss exposure. Before you decide to trade foreign exchange, carefully consider your investment objectives, experience level, and risk tolerance.
You could lose some or all of your initial investment. Do not invest money that you cannot afford to lose. Educate yourself on the risks associated with foreign exchange trading, and seek advice from an independent financial or tax advisor if you have any questions.
Any data and information is provided 'as is' solely for informational purposes, and is not intended for trading purposes or advice.
Past performance is not indicative of future results.