Yip, Placing via File, Place is how you import AI and PS files into InDesign but cannot be edited. They will be linked into InDesign though so the edits can be made using AI or PS and they will update in ID.
If it is a simple drawing made in AI, without any special or AI specific effects applied, then you can sometimes copy and paste from AI to ID and then you can edit it in ID, otherwise it will paste as an embedded EPS.