No.  There are many pills and snake oil products online, but I have never heard of a valid cure.  But, experts say it gets better over time as long as you don't make it worse.

The first few months I suffered from tinnitus, I would say it was very annoying at night but not too bad during the day.  It did not effect my sound engineering.  After six months, it improved about 25%.  After a year, roughly 50%.  Now, many years later, I would say I have maybe 20% of the original tinnitus I got in 1999 (an 80% improvement).  It's pretty much gone because it was a mild case of tinnitus to begin with.