No, those are all wrong. Remove the "to" word from each of those sentences.

Forbidden is quite a strong word ;) But, no, it is not correct.

Can is a modal and because of this must be followed by a verb in the base form (verbs in the infinitive without to). Ex: You can eat the cake; I can speak English.

Greetings Recardo, Great ! You tried well. See the format of modals- Hero (subject) + modal + action( verb first form) example- I can go. I can sing a song. So, we shall not use 'to' here. Happy Learning Deepika Mantra

You can use 'can to' only when TO is part of an infinitive (usually to express purpose) and CAN is not connected to that verb in the usual way when TO is not there. Confusing? Here is an example: The doctors are doing what they CAN TO save your baby. You could say that I cheated with this example. But many such instances exist. In this case the verb DO is implied. So you have: The doctors are doing what they CAN [do] [in order/so as] TO save your baby. So CAN can be used next to TO only when they are not part of the same phrase.