I just got charged with my 2nd DUI last week, will this affect my chance at a paralegal job that I have an interview for?

Unless your job will require driving for your employer, it should not affect your employment. Most states have Fair Employment laws which prohibit discriminating against a person based on prior arrests or convictions, unless the job in question requires activity which the prior convictions suggest are dangerous. Employers, however, too often figure out ways to get around these laws. But if you are asked in an application about convictions, you have to disclose yours. I think, and hope, that it makes no difference.