It's theoretically possible. It would be a type of malpractice claim.
The problem you are going to have is finding an attorney and then funding the case. Medical (or in this case mental health) malpractice cases are extremely expensive to pursue. To file the case you have to have a report ready from another provider serving as an expert. The least that will cost if $15k and usually they are considerably more than that. To get a malpractice case all the way to trial it's not unusual to have $100k in expenses and often more than that.
In your particular case it will be hard to put a monetary value on the damages.
So, while it is possible to sue for this action, it is going to be difficult. You may want to talk to a few local lawyers who do malpractice cases, you can find them at www.lawyers.com, and get their views as well.
You could also consider filing a complaint with the state licensing board and then if you get a finding against the counselor by the licensing agency it will make it easier to get a lawyer and pursue the actual civil case.
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Of course, please feel free to ask any follow up questions in this thread. I want to be sure that all of your questions are answered. In addition, once you issue your Positive Rating the question will lock open and no longer time out so you can come back to it anytime in the future if you think of any follow ups.