You can not produce two exposures that have the same focal length and f/ratio that have different depths of field
Just to nitpick, you can if you change the size of the film/sensor. f2 on a medium format camera looks very different than f2 on a digital P&S sensor. But other than that you are correct.
Just to nitpick, you can if you change the size of the film/sensor. f2 on a medium format camera looks very different than f2 on a digital P&S sensor. But other than that you are correct.