I'm not sure you can do that. I'm currently getting my basement done and went to get the permits last week. I'm pretty sure you need permits in order to get the inspection done.
When you get the permits you have to provide drawings of the work being done. The drawings also provide information to the inspector(s) so they know what they are inspecting when they come.
Your best bet is to call 311 and get your answer but I'm pretty you can't do one without the other.
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