Oh definitely possible -- I was covering up symptoms of chrohn's disease and ulcerative colitis for so long I ended up in the hospital.
I gave up alcohol for seven months last year -- this is something I didn't cope well with then.
Sometimes even sober me is going to feel like garbage. And it has nothing to do with alcohol... it's just life 
I was shocked one day when I woke up with a bad sinus headache and some anxiety and gastrointestinal symptoms. These were all things I associated with a drinking binge -- it made me angry.
But I was getting sick or had eaten something that didn't agree with me. It just happens! And feeling crappy and getting brain fog or aches for me is just part of being sober sometimes.
I hope this.. sort of helps?