Is There a Way to Widen Lips?

A traditional facelift does tend to widen the lips. As you pull the muscle covering layer ("SMAS") laterally, the lips tend to get pulled laterally.
Just look at Donatella Versace's, or Sally Fields pictures, or any other facelift that has been "pulled" too far and you will see. Web sites that track bad plastic surgery to the stars are full of these pictures.

There are procedures ot actually open the width of the mouth as mentioned by Dr. Wallach and there are techniques to move to corners of the lips outward to make the mouth appear wider by moving the lips outwards. This is the modification of the procedure known as a corner lift. However this can potentially leave scars on the outsider broders of the lips

I understand your concern. When your mouth is closed, the length of your lips measured from right-to-left is too short. Unfortunately, I am not aware of any procedure that would improve this problem.
That being said, you should consult a board-certified facial plastic surgeon for an in-depth consultation to see what you CAN do to improve the way you look and feel.
I hope this helps, and best regards.

There are actual techniques described to reconstruct a patient's mouth if she has a true microstomia. BUT..... this is for a patient who can not open her mouth wide enough to ingest food, etc.. It doesn't leave noticeable scarring. I would not recommend it for a person who thinks that a wider mouth would bring better balance.