I was going to use a mean well driver that allows me to set voltage and current.
A power supply cannot really "control" both current and voltage (because of Ohm's Law).
It's not uncommon for a power supply to have a current-limiting circuit. There are bench supplies with variable voltage and variable current limits. For example, you can set the limit at 1A and as you increase the voltage, current increases to the limit. After that, the voltage knob no-longer increases the voltage.
Or, if you increase the load (decrease the load resistance) the voltage drops so you don't exceed the current limit.
A constant-current power supply is a strange animal... The voltage increases when the load resistance increases (up to the voltage-limit of the power supply). And, it's generally OK to short-out a constant-current supply because the voltage simply drops to (almost) zero and the current keeps flowing.
Ohm's Law defines the relationship between voltage, resistance, and current. It's a law of nature and there's no cheating. The "resistance" of an LED is not constant (it varies with voltage) so we can't really use Ohm's Law, but it's still in force.