Can you date liars?
If you are dating a liar, you can try separating yourself from their behavior—recognizing that lying is their own action, and so they ultimately must take responsibility for it. If you are dating a compulsive liar, you can encourage them to seek counseling. A compulsive liar may benefit from professional help.
Do liars have trust issues?
Many people will find it too difficult to be in a relationship with them as they can cause trust issues, instability, and insecurity. You will have to decide for yourself whether the lying is something you can deal with and are willing to work through with the other person.