Yes, you could add up the max current drawn for the active components...
The only hidden point might be the current used by the active components while driving signals - ie. more current will be drawn when the circuit is working harder, but this depends on the circuit and also might not make a huge difference.
There are general guidelines for chips like the NE5534 - eg. just count how many you are running and multiply by a certain amount, but I don't know if this will apply here...
Remember that your mains fuse is current at 240V (or 120V... whatever you are using in Belgrade!) and therefore the current at mains Voltage is less than the current at say, 15V.
Calculate the Power drawn in the circuit, and then divide by your mains Voltage to get the Current.
Someone else with more experience in this field can maybe chip-in here...