I'm creating a level editor for my game and I'm wondering if it's possible to export array JSON file to specific location as well as importing them into the game?
You can use the 'Array: Download' action. That will give you a link to the JSON which you can then save as a text file or whatever.
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How would I go about importing back into the game after that though?
You could use project files and AJAX. This tutorial has a bit about making a level editor:
http://www.scirra.com/tutorials/328/using-project-files-in-construct-2/page-1