It is possible. Part of the skills in training 'for real' (ie in the aircraft) are to allow a situation to develop further than one might outside the training environment for the purpose of 'learning from experience'. Thus I suppose the training pilot is more 'exposed' to 'out of the ordinary' situations, but as a counter to that IF the selection and training of the trainer is correct, he/she should be better able to handle and correct the 'deviation' while still allowing it to be a learning experience for the trainee
I would not expect this to lead to more 'accidents' however.