Yep. Loader on the ground, engine off, move joystick to relieve pressure. Unless the pin is seized, it shouldn’t be a big deal to remove it, clean everything up, and reinstall. A good sized flat end punch is helpful to knock it out and align the holes to reinstall. Hydraulic cylinders are generally heavier than they may appear. Consider supporting the cylinder somehow before removing pin. If you have any urge to stick your fingers in the hole to assist with aligning to reinstall, don’t. That’s a great way to seriously injure or lose fingers.
There’s a cylinder still in place on the other side that should hold it in place with little to no movement since you aren’t removing any hoses. Of course don’t be under anything heavy when the pin comes out as what “should” happen isn’t reliable enough to risk having heavy stuff fall on you.
If the pin is seized, that can be a bit challenging. Procedure we used on the cable plow where I worked for a while worked 99% of the time for stuck pins. One guy with large pliers holding a large flat end punch or solid steel rod a bit smaller than the pin. Second guy hits it as hard as he can with the largest sledge available. If that doesn’t work after a couple tries, heat is usually needed.