Gary, the text box is tied to the object/container.
If it were me, I'd first make a 2nd object, with the border you require, inside the object. Use that 2nd object for your paragraph text.
Take your original object. Make a contour to the inside. Use that contour object, instead of the original object to enter your text.
One little (quick) extra step.....but then you won't need to fuss with borders, indents, etc.