That's a no. Some of the stuff in Discovery and Picard is too much for children to be shown (decapitated baby, Icheb's Hostel tribute). Teenagers are gonna watch what they want but young children need to be protected. That said, there's some stuff in the Trek movies and the odd episode here or there of Berman Trek I wouldn't let young children watch either (Remmick's exploding head, Ceti Eels). Obviously pre teens and teenagers are gonna find a way to see whatever they want. I'd just talk to them and make sure they know not to take the violence and gore seriously.