Kammel studied music at the Patres Piares College, Slaný from 1746 to 1751 and an unconfirmed subject, thought to be philosophy, at Prague University from 1751 to 1753.
[3] After studying in Italy, Kammel returned to the Waldstein estate for a few years, during which he gave performances and violin lessons.
In early 1765, Kammel traveled to London, England, where he continued to give performances and worked as a salesman, selling wood for ships' masts on Count Waldstein's behalf.
[3] While in England, Kammel published several of his own compositions and gave performances alongside other leading composers and musicians of the time.
He frequently performed and published with both Johann Christian Bach and Carl Friedrich Abel, based on concert programs from the time and joint publications such as the music seller Johann Julius Hummel's 1778 publication of a collection of six trios for two violins and violoncello by the three composers.