you can turn off the content grabber
As Fede Gianni mentioned, turn off the content grabber.
On the View menu, hover over Extras, click on Hide Content Grabber
If you turn the content grabber off, you have to toggle between the Selection (V) and Direct Selection (A-white arrow) tools to move either the frame's content (white arrow) or the frame and content (black arrow).
If you leave the grabbber on you can use the black arrow Selection tool to do both—drag inside the grabber circle moves the content without the frame, anywhere else inside the frame moves the frame and the content.
I find the content grabber inconsistent it usually does not pick up both for me but I'll try it again Thanks to all for the suggestions and tips
it usually does not pick up both for me but I'll try it again
The grabber moves the content, not the frame and content. So with the black Selection tool an arrow icon shows when your cursor is inside a picture frame but not inside the grabber circle. If you drag whwn the arrow shows the frame and contents move together:
And when the cursor shows as a hand inside the circle the content will be dragged while the frame stays in place: