Yes, but physical symptoms? Perhaps it's not the coffee that removes them, but the water or the minerals that are coming with it. I suggest to try pure water, milk, juice or so next time.
Yeah, physical symptoms can sometimes result from caffeine withdrawal. Headache, muscle ache, etc.
This is actually reminding me of my grandfather. He ended up in the hospital one day with lung problems due to a lifelong smoking habit. The doctors credited the fact that he wasn't already dead yet to his coffee drinking habit. You never saw the man without a coffee mug next to him. Anyway, the effects of the caffeine had increased his blood flow and oxygen circulation.