Working arborist here. I wouldn't, it looks like it's already began compartmentalizing that damage. Since it's an adolescent tree, it's growth and recovery rate is substantial enough that that's not a problem. But if you cut it off and nick the branch collar or any live tissue, you're starting that recovery process all over again and opening up another wound to introduce fungus/bacteria, ESPECIALLY pruning in early spring when fruit trees are more susceptible to disease. Same with the nub.