The only one I know off is the Garmin VIRB® 360 which at a cost of $800 and a disappointing photo resolution is very expensive. And most of these cameras needs a smart phone to do more than taking a single photo or video.
For the same price you can get a Xiaomi 360 and a cheap smart phone and still have money to spare.
The 1-2 seconds may be a problem. I think Xiaomi takes an image every 5 seconds, like Google Streetview does. I think the Samsung can do it fast enoug for you, but from what I can read on the forums there is no automatic intervalometer - and it only works with some expensive Samsung phones. Of cause there are very expensive professional cameras.
Personally I am waithing to see the next Ricoh Theta, which is already out for reviewers. It may be that I get, it may be the Xiaomi.