Hello!
Yes, you will probably be forced to use resistors since I beleeve the RGB controller variates the voltage. Since the 5mm RBG is 4 legs you parallell connect them and if each colour have to share 2A they will get 42 mA each colour if they should share the current eqally, and they don't share it eqally. Resistors will help distribute the current more evenly but since it's quite boring to connect 144 resistors you can cheet somewhat by eg. connect them in groups of 6 leds per resistor and colur, redusing the total amounts of resistors to 24 pc.
BR