Can I sue my manager and company for taking unauthorized breaks out of my timecards?

You could either file a complaint with the state department of labor, or  you could bring a lawsuit for the  money you are owed. Assuming you are an hourly employee (that is, you are paid an hourly wage, not an annual salary), as is implied by your question, your employer is legally obligated to pay you for all hours worked and to keep accurate time records. For smaller amounts, probably filing the complaint and seeing if the department will investigate and take action on your behalf, is the best option. For larger amounts, you may wish to consider your own attorney--since many employment attorneys will provide a fee initial consultation to evaluate a case, you may wish to meet with a lawyer to see how strong your case is and what it might be worth, before deciding what to do.