I put charges on my husband for vandalism.. can I remove it?

Are you in the USA, cops will not remove a complaint. Maybe you can call them and discuss a possible misidentification on your part

Where is this at, in the US,No, a police report will remain forever. Now was he charged by the DA. You have no right to drop charges you can talk to the DA and see if he will. Normally they will not if there was good reason to believe the crime happened. And now you are lying about it not happening.