I voted "no," but with caveats.
On one hand, pet owners are liable for what their pets do, especially in cases like dog attacks. Young children are not pets, but parents are their stewards as they learn right from wrong, and I would say the parents would be on the hook for things like stolen goods.
On the other hand, by their teen years, those kids know theft and violence are wrong and have a significant degree of autonomy even though they are not legally independent yet, and have personal responsibility for their actions. They also have the ability to deliberately circumvent protective measures. locks can be picked and electronics hacked. This is deliberate action. Parents can do their best to secure dangerous objects and reach morality but rebellion and/or sociopathy are beyond their control in the end, making punishment of the parents misguided even if we do want someone to pay.