Will my incontinence get better if I drink less?

No, drinking less will not help. On the contrary, it will probably make things worse, as it increases the risk of infections. 

When you do not consume enough liquids, your urine will become too concentrated and can irritate your bladder, causing painful bladder infections.
 
We recommend that you consume the normally recommended amount of fluids (about 2 liters per day) to keep hydrated and avoid bladder infections. If you are in doubt, consult with your healthcare practitioner.