He was born in Kibbutz Rosh Hanikra, Israel, and is Jewish.[2][3] Brokman's father represented Israel in two world championship sailing competitions.[3] Brokman lived in Haifa, Israel.[4]
"You don’t have to be an aeronautical engineer to be a good sailor, but it helps me understand the dynamics of the sailing. For example, when the boat is moving the physics on the surface of the boat has to be re-defined again and again. I find that much of what I learned at the Technion can, in some way, be applied to sailing and has helped me make [fewer] mistakes."[5]
The two of them then won the bronze medal in the 1977 470 European Championships in Austria, the silver medal in the 1978 European 470 Championship in Portugal, the gold medal in the 1979 European 470 Championship in Spain, and the silver medal in the 1982 European 470 Championship in Hungary.[8]
Brokman competed for Israel at the 1984 Summer Olympics in Los Angeles, California, at the age of 26 in Sailing.[1] In the Men's 470 Mixed Two Person Dinghy, he and Eitan Friedlander came in 8th out of 28 teams.[12][13] When he competed in the Olympics he was 5 feet 6 inches (168 cm) tall, and weighed 154 pounds (70 kg).[1]
At the 1991 470 European Championship in Norway, he and Guy Brockman came in 30th.[14]