Yes, Honda does offer motorcycles and automobiles with 3-cylinder engines. While the majority of Honda's lineup consists of 2-cylinder (twin-cylinder) and 4-cylinder engines, they have also developed 3-cylinder engines for certain models.
In motorcycles, Honda has produced 3-cylinder engines for various sport and touring models. One notable example is the Honda CB500X, which is available with a 471cc 3-cylinder engine. Honda has also utilized 3-cylinder engines in their larger sport touring motorcycles such as the Honda VFR1200F.
In terms of automobiles, Honda has developed 3-cylinder engines for some of their compact and subcompact car models. For example, the Honda Jazz (also known as the Honda Fit in some markets) offers a 1.0-liter 3-cylinder engine option in certain regions.
It's worth noting that the availability of specific engine configurations can vary depending on the market and specific models offered by Honda. It's always best to consult with a Honda dealership or visit their official website to find the most up-to-date information on the engine options available for their motorcycles and automobiles.