Professional players are usually going to be in shape - not overweight, so I don't know if you can boil it down to the weight.
In the past, players with larger frame like abvove 6'4 were more prone to injuries because the amount of torque and impact on the joints to start and stop are naturally greater. But, it seems like exercise science and better training methods have helped them.
Factors like joint mobility, strength of tendons and ligaments, physique, etc all matter..
Recreationally, yes. extra weight will usually means higher chance to be injured..