The question we should start with is - What is Romance?
Is it falling in love with a person?
Is it a relationship with a significant other?
Is it passion for a person only?
Or can Romance be falling in love with an idea. A cause. A belief. A deity. A project. A vision. Something else entirely.
Romance is not just love for another person. It is falling in love with something and acting on it. In that way, it is sort of like faith. As many have said - mere belief is not faith. A person can believe in something, but if they do not practice it they are unfaithful. Romance can be seen as a more modern notion of faith - a willingness to love and act for something. In a way that is passionate, in a way that means you give it your all. That you would die for it. That you would devote your life to it. That consumes the very heart and soul of your being. It revitalizes. It is obsessive. It is exhilarating - the greatest feeling. It gives us purpose and meaning beyond what is rational, but based less on a spiritual idea like faith, and something more from inside.
So if you mean Romance, as in you have never been in love with anything, then I suppose technically yes but only in the vaguest sense. Like a super-super-computer could write a convincing Romance based on brute, mental strength. But it will not be from the heart. It will not transcend or be written from a position, where an ordinary person can write it so that it will convince. So, my answer would be "No."
But if you mean, simply, you never had a date, or were gf/bf, or had an intimate relationship with another person - then it is a definite "Yes!" An enthusiastic yes. Like I said, you can fall in love with an idea, a cause, a project, a dream, etc, just as much as you can a person, and that does not cheapen it by any degree. The term Romantic refers to passionate people - Napoleon, the Count of Monte Cristo, Les Miserables, the Three Musketeers. These people have a passion for something to the point, where while otherwise rational to a 't', they go crazy and are willing to die. That is, what I consider, the essence of Romance, and it can infect anyone at anytime.