Answer by taking a quote from the following article:

Bruce Lee was born on November 27, 1940, at the Chinese Hospital, in San Francisco's Chinatown. According to the Chinese zodiac, Lee was born in both the hour and the year of the Dragon, which according to tradition is a strong and fortuitous omen. Lee and his parents returned to Hong Kong when he was three months old. Bruce's father, Lee Hoi-chuen, (Li Hai Quan ) was Han Chinese, and his mother, Grace Ho (He Ai Yu ), was of Eurasian ancestry.

At the invitation of Ed Parker, Lee appeared in the 1964 Long Beach International Karate Championships and performed repetitions of two-finger push-ups (using the thumb and the index finger of one hand) with feet at approximately shoulder-width apart. In the same Long Beach event he also performed the "One inch punch." Lee stood upright, his right foot forward with knees bent slightly, in front of a standing, stationary partner. Lee's right arm was partly extended and his right fist approximately one inch (2.5 cm) away from the partner's chest. Without retracting his right arm, Lee then forcibly delivered the punch to his partner while largely maintaining his posture, sending the partner backwards and falling into a chair said to be placed behind the partner to prevent injury, though his partner's momentum soon caused him to fall to the floor. His volunteer was Bob Baker of Stockton, California. "I told Bruce not to do this type of demonstration again", Baker recalled. "When he punched me that last time, I had to stay home from work because the pain in my chest was unbearable".  It was at the 1964 championships that Lee first met Taekwondo master Jhoon Goo Rhee. The two developed a friendship - a relationship from which they benefited as martial artists. Rhee taught Lee the side kick in detail, and Lee taught Rhee the "non-telegraphic" punch.  Lee appeared at the 1967 Long Beach International Karate Championships and performed various demonstrations, including the famous "unstoppable punch" against USKA world Karate champion Vic Moore. Lee allegedly told Moore that he was going to throw a straight punch to the face, and all he had to do was to try to block it. Lee took several steps back and asked if Moore was ready. When Moore nodded in affirmation, Lee glided towards him until he was within striking range. He then threw a straight punch directly at Moore's face, and stopped before impact. In eight attempts, Moore failed to block any of the punches. However, Moore and grandmaster Steve Mohammed claim that Lee had first told Moore that he was going to throw a straight punch to the body, which Moore blocked. Lee attempted another punch, and Moore blocked it as well. The third punch, which Lee threw to Moore's face, did not come nearly within striking distance. Moore claims that Lee never successfully struck Moore but Moore was able to strike Lee after trying on his own; Moore further claims that Bruce Lee said he was the fastest American he's ever seen and that Lee's media crew repeatedly played the one punch towards Moore's face that did not come within striking range, allegedly in an attempt to preserve Lee's superstar image. However, when viewing the video of the demonstration, it is clear that Mohammed and especially Moore were erroneous in their claims.

Did he do another Long Beach event after this one?
Lee appeared at the 1967 Long Beach International Karate Championships