Welcome in the forum.
BLE radio and PSoC hardware (timer) are running independently from each other. Short (!) interrupt handler processes as reading some pins or ADC values will not disturb the flow.
I would suggest you to get a CY8CKit-042 BLE-A Pioneer Kit from one of your distributors. Price will be (without tax and customs) ~USD50,
There are many different examples you can access when the kit software is installed, including a quite comfortable IDE named "Creator".
i'll test it