Unfortunately, no, the Edison's SDK is board specific so it's not compatible to the D1000.
Also, we have moved this thread to the Quark Microcontrollers community, you should receive a better answer to your question in here.
Have you looked at the examples provided in the D1000 toolchain - ISSM 2015 (Intel® System Studio Microcontrollers | Intel® Developer Zone) ?
There is a 'hello_world' example included as well as a number of other samples.
Full documentation available here - Intel® Quark™ Microcontroller D1000: Documentation