Sounds like an OS problem, not ID.
What version of ID and what OS?
Can you open ID and use File > Open...?
I have OS X Yosemite
InDesign CC – switch all Adobe products over to CC
I'm a Windows user, but I know there is a Java update you need for Yosemite to make ID work correctly. Is that installed?
Has anyone figured this out? I'm having the same issue with CC. I can go to file > open and it opens fine, but will not open on double click. Please help!