Yes, it is called a Sunion. The Sunion is a long-day sweet onion (which means the bulbs require around 15 hours of sunlight to grow.). What makes them different from typical long-day sweet onions, however, is their volatile compounds.

In most onions, volatile compound levels increase during storage, and those higher levels cause the onion to become more pungent. The pungency contributes to teariness when you cut them. Volatile compound levels in Sunoins do the opposite. Overtime, Sunions actually get milder, sweeter, and yes, tearless.