I am not familiar with your particular Laser system, but no. The Output Coupler is the output of the laser resonator. I believe your Laser is a Diode pumped laser which means the ytterbium rod is excited by the diodes. (other Yag Lasers use flashlamps, CO2 lasers use High Voltage). A collimator is used to change the beam size and is usually used between the Output Coupler and the Process, though I have seen intracavity collimators before (JK704 for example has one used in cutting configuration.
If someone here is familiar with your laser, I will let them explain the details for yours.
Now, some collimators (Beam Expanders) are adjustable and have to adjusted right or you will have all kinds of issues. If it is adjustable, it should have two adjustments. one to change the beam size, then another to re-colliminate the beam. It is a back and forth adjustment, but when done right beam will be the same size at the output of the collimator and where it enters the lens. If mode is not the same at both places, it will add or subtract from your focal point. I.E. a 100mm FP can become 127mm FP and your kirf will be all sorts of undesirable.
"I am stuck on Band-Aid brand, 'cause they are stuck on me"