C.,
This is one of those chicken or the egg questions. I think some people believe that it can...but most likely, the thyroid problem came first...or these issues are simply co-morbid/occuring simultaneously.
The important thing to remember is...for overall health, manage anxiety to the best of your ability...
...and monitor/treat any physical issues that need attention.
Along with healthy diet, exercises and good lifestyle choices overall.
S.C.