Yes and maybe no.
It depends on the company and their confidentiality procedure.
There are only two states who require their tax professionals to be licensed. And in one of those states, California, the tax professional has to be bonded as well.
There are certain codes and business procedures which California tax professionals must adhere to. There are stiff penalties for allowing a taxpayer's information, to be compromised.
Check out which state the tax professional is in, and what are the procedures to make sure your information is safe.
PS: The Department of Justice gives out jail time, to unscrupulous tax preparers!