Is it normal to like your cousin?
Having a crush on your cousin can happen, and the feeling itself doesn’t make you bad or unusual. Whether acting on it is a good idea depends on your ages, family situation, and local laws.
If you mean you care about your cousin as family, that’s completely ordinary. If you mean a romantic or sexual crush, those feelings can happen too—you don’t always get to choose who catches your attention, and having the feeling isn’t the same as acting on it.
What to do about it is a separate question. Family relationships can get complicated fast, and laws and social norms around cousin relationships vary. Keep clear boundaries, especially if either of you is underage or there’s a power imbalance, and think carefully about how pursuing it could affect the wider family.