Crack/Split right under door knob?
Long story short, I locked myself out of a key locked room and ended up crowbarring my way in. Since the key is gone, I decided to replace the knob with a basic bathroom lock. However, by doing so, I split the wood under the door knob. Is there a way to fix this without taking the wood off its hinges? I've got paint of the right color, sandpaper, wood glue, and probably a clamp somewhere, but I'd like to avoid taking more things apart. I've attached pictures of what I'm dealing with.