Yes, the barrel can be removed from the stock. You will probably need a small diameter- 1/16"- punch to drift the pins out. They move from left to right to remove, as you look down on the barrel from above, and right to left to put back in. Keep the pins in the order in which they are removed, as they are often sized to a particular hole.
While you can remove them for cleaning, and, with care, not bung up the holes in the wood, its better if you seal the wood in the barrel channel with some stock finish, then put a coat of some good grease that stays as grease over a wide range of temperatures. The grease will protect the barrel from rusting, and keep water out of the barrel channel, whether from cleaning, or being out in the rain.
Look at water pump grease, or some of the new synthetic greases designed for the aircraft industry that work at both high temperatures and very low temperature to keep engines(hot) working at high (cold) altitudes.
Once you have protected the underside three flats of the barrel, there is little need to take the barrel out of the gun for any purpose.
Grease the breechplug and tang for the same reasons.