Maybe I'm miss understanding the question or application but I don't see why that driver couldn't be used with the correct wiring/math.
The driver most likely has its own current limiter set at 2A, it's just ohms law from there on the outside. LEDs are just diodes, each color with a unique forward voltage drop.
As an example common LEDs need 20mA to get full brightness, but LEDs are not current limiters, the current is based on the line resistance which is why it's easy to burn them out as diodes are not a measurable resistance value.
Assuming 24V line, and for easy math each diode drops 2V and I'll say I have 7 LEDs in series for a 14V drop.
24-14=10V 10V/20mA = 500ohms
10Vx20mA = 200mW
Meaning that if we put in a 500ohm resistor in series with the LEDs rated at greater then 200mW( use a 1/4W or better) then we have a properly adjusted circuit.
Current draw is complete dependent on voltage and resistance aka ohms law, the device just refers that it is only rated for up to 2A or will limit to a max of 2A if you try to pull more then 2A.
what you asked or did I miss understand what you asked?