You certainly can sue. You will have a very hard time finding an attorney that will take this case on a contingency fee, so you will have out of pocket legal costs and fees. Something to consider as well is that he probably committed perjury; contracting the local DA might be worth it.
I am sorry for this ordeal and wish you the best of luck.
You don't have a lot of details in your question, but instead of a civil suit, why not have your family lawyer file a motion to show cause to hold your husband in contempt for lying to the court assuming you have irrefutable evidence. Once a finding of contempt is made, you may be able to pursue restitution for costs, etc. By irrefutable evidence, I don't mean a swearing match where you swear that you are telling the truth and your husband is telling the truth. I mean finding a "smoking gun" such as another person who is independent of you willing to testify that your husband made everything up simply to get revenge, etc. or something similar to this.
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