Kobe is averaging 24 shots per game. That has been done exactly 16 times over the course of a whole season in the three point era starting in '79-'80. The worst FG% is Bryant's 37.8%, a full 2 points behind the second-worst (Iverson '01-'02).
Iverson has the most appearances on the list at 5. He would have the five worst FG% if it weren't for Bryant this year and an anomalous appearance by Jerry Stackhouse. The most impressive season: Michael Jordan, who shot 53.5% while taking 24.4 shots per game in '87-'88 (and tossing in 5.5 boards, 5.9 assists, 3.2 steals, and 1.6 blocks for good measure).