Yes—this is generally possible if you combine interval shooting with your camera’s auto exposure bracketing. Set the camera to bracket each shutter release, then use an intervalometer or tethered control software/script to trigger a shot sequence every X minutes.

From the community input, one working approach is tethering a Nikon D300 to a Mac and using an AppleScript-based interval shooting setup. If the camera is already configured for bracketing, each trigger should fire the bracketed sequence, provided the interval is long enough for the full burst and file writing to complete before the next cycle.

The key practical point is timing: make sure the interval between sequences is longer than the time needed to capture all bracketed exposures and save them. After shooting, you would merge each bracketed set into HDR frames and assemble those into the final time-lapse.