Can you date while you are getting a divorce? Sure. Should you? No!
During the divorce process you are still married. If you date during divorce your spouse may sue you for divorce based on adultery. This can cause you problems with child custody and alimony.
If you have filed for divorce based on adultery, dating may destroy your grounds for divorce. Your spouse may raise your adultery as a defense. This is called recrimination. This could force you to spend even more money on legal services and court costs.
In the end your divorce will be over in a few months. You have the rest of your life to find that special someone. Do not date during your divorce. If you do date, be prepared to have it used against you in court.