No. For as long as you are an ongoing, SEO client of AKSYS, it would be unethical for us to attempt to get your competitor's site ranked ranked as high or higher than yours. We have turned away business in the past for this exact reason.
If two websites are similar, but targeting a completely different community, AKSYS would feel obligated to assist both clients. For example, we would provide website SEO service to a fence installer/contractor who primarily works in Anchorage, and a fencing contractor focused on the Wasilla or Palmer area.