Blimey, yes! Had something similar last year in my old farmhouse up in Cumbria. Kitchen cupboard above the cooker kept swinging open, sometimes two or three times a night. No draft, windows all shut, checked the hinges and everything was fine.
What got me was the timing - always between 11pm and 2am. Never during the day. My wife thought I was going mad but she saw it herself eventually.
I did a bit of reading on poltergeist activity and apparently repetitive movement like that, especially in kitchens, is one of teh more commonly reported things. Something about the energy in high-traffic areas of a house.
Did you try noting down when it happens? Keeping a log really helped me spot the pattern. Would love to hear if others are getting this too, feels like theres been more reports of this kind of thing lately.