No, liquid soap is made with oils, lye and water as with making bar soap, but it is a different lye. Lye used in liquid soap is pottassium Hydroxide, in bar soap you would use Sodium Hydroxide.
However I know there are several soap supplys that carry liquid soap base. Just add fragrance and color, and away you go. One great place to buy it is bittercreek.com but there are many others, just search for soap supply comanies and you should find a bunch. HTH.