No. As someone who just graduated from an MLA program and someone who served as part of a committee to review graduate applications to our program I would say that CAD experience did not play a part in the decision making process. I suppose it varies from school to school but from my own experience I can tell you that creativity and capacity for artistic expression (whether in drawings, writing, paintings, etc.) were bigger considerations than technical skills. Most people can learn a computer program but sincere interest in and understanding of the field will, I think, give you a bigger advantage. I too came from a liberal arts background and was accepted to a number of landscape architecture programs sans CAD skills or VectorWorks or Adobe…
Good luck.