Your power adapter will provide a constant 3V at whatever current is required(allowed) by the connected components up to 300mA. A laser diode (like all diodes) will act essentially as a wire in it’s forward direction, allowing as much current as is available to pass through, but the laser part of the diode can only handle so much current before it breaks. To solve this problem, the laser diode is attached a driver circuit which limits the ammount of current going through the diode. These driver circuits are designed to take in a specific voltage, and will draw up to the specified current to power the laser diode.
So, if you have a laser module ( diode + driver circuit ) then as long as you have a deacently regulated supply with the proper voltage, and enough amperage you should be just fine. If attaching multiple laser modules to the same source, you will want to wire them in parallel.