Sometimes yes, sometimes no. First, the person would need to know that they have the issue in the first place. If they are in denial or have not spent some time understanding their interpersonal dynamics, they could not say it. If they do know what's going on, and they have the strength to let others know, then they could very well tell you of the fear, especially if they value the relationship. Actually, that's a classic way of creating distance in a relationship.
All people have a range of comfortability when it comes to intimacy.
Some people like more closeness, some more distance. Again, they might say those things when feeling threatened by the closeness so as to create more distance in the relationship and feel more comfortable. That is perhaps the key to the entire subject. In fact, their intimacy needs may be greater than most people. The need may make them both want more and fear their own desires.