Technically, any open fire anywhere in town is prohibited
without a license. In practice it's all complaint driven. If your neighbor complains, you'll be talking to somebody in a uniform.
In these conditions, I would be apprehensive if I saw floating sparks from a fire in my neighbor's yard. We were living in the Warrens area during the early 80's forest fires and the feeling you get in the evening as you watch a faint glow on the horizon, smell the hint of smoke in the air and glance at all the pine trees around the house, is something that stays with you.
So I'd be having a chat with you if you had an open fire on my street these days. But knowing my neighbors, I'm confident that won't happen.
There's no ban on grilling that I can find.
Edit: The burning guide
says fire pits are okay as long as they have some sort of screen to contain the sparks. In my opinion, that means it isn't really an open fire. In happier times, several of my neighbors flaunt that regulation and regularly sit around a campfire in their back yards. They don't do that nowadays.