The short answer is "no".
The new bank tax was a means of recovering some of the TARP funds.
Bank tax proposed as means to recover unrepaid TARP funds
Austin Business Journal - by Kent Hoover ACBJ
Washington Bureau
President Barack Obama’s proposed new tax on large financial institutions has a good chance of passing Congress, despite objections that it is unfair and could make credit harder to get.
The president wants to slap a tax on financial institutions with more than $50 billion in assets as a way to ensure that taxpayers recover “every single dime” of the federal government’s $700 billion financial rescue program.
The new Financial Crisis Responsibility Fee would raise an estimated $117 billion over 12 years — the amount of Troubled Asset Relief Program funds that likely won’t be repaid by TARP recipients. TARP funds primarily went to banks, but most of the program’s losses are expected to come from investments in insurance/financial products giant American International Group and automakers General Motors and Chrysler.
Most banks that received TARP money have repaid it, with interest, to the government.