Yes, you can back-test the performance of your cBot over historical data on the cTrader platform. To do this, you need to navigate to your 'Automate' section of the platform, click on the arrow next to your cBot, and select ‘Add an Instance’. Navigate to ‘Backtesting’ tab and set your preferred back-test parameters before running.
Once you are happy with your cBot, you can test it in live trading conditions by using it on your demo account.