Yes. We used to have a two storey house with a hall window with a protective overhang. One year, we were having an "infestation" of these giant spiders (which was caused by the infestation of their favorite food source - mosquitoes). Anyway, this one spider had built quite an elaborate web over that window (which didn't open). One night, around 2am, I came home from a party and I noticed that the spider was actively building his web, so I turned off all the lights and got out my flashlight to watch. So, naturally, I was moving the flashlight around to get a good view. Next thing I knew, there were some knocks on the window to the ledge below and sounds like someone was trying to open the door. I got scared and called the police. They checked it out and it turned out my "intruder" was, in fact, the police checking on the mysterious flashlight the neighbors had seen at 2am. So, I opened the door and told them about the spider. The one police officer replied, "oh, that's what attacked me". So I guess he'd crawled up there to see what was going on.
Anyway, it reminded me that the police are there to help when needed.
The other time was when we'd had a power outage and one of our contacts for our window alarm had gone off. They showed up at my door, surprising me, because the alarm actually hadn't gone off in the house and I hadn't actually set it, but it had been the power glitch. They had to check my id to make sure I wasn't an intruder with the "real" homeowner tied up in the basement. Then they offered to take a look around and make sure the property really was secure and it had been a mistake, which was nice.