I'm not saying all do, but generally, yes.
"****** attraction is a feeling that ****** people get that causes them to desire ****** contact with a specific other person. It is often (but not always) mixed with another form of attraction - i.e. sometimes a person experiencing ****** attraction will only want ***, and other times they will desire *** as well as romantic interaction or other things.
Sometimes asexuals will desire ****** contact for other reasons besides attraction, for example, in order to make another person happy who is ******, or to prove to themselves that they are "normal". It therefore becomes tricky to define ****** attraction exactly. One good rule of thumb is that ****** attraction involves a desire for the ****** act itself, rather than its social consequences. Some models of asexuality, such as Rabger's, make distinctions between different kinds of ****** desire, and allow for asexuals to feel some varieties but not others.
****** attraction is not the same thing as *** drive, although in ******* the two often go together. When asexuals experience *** drive, it is not connected to attraction or desire, and can thus be taken care of by oneself."
-AVENwiki - Attraction.