The short answer is no.

The insulator can be charged via electrostatic charging by friction, but not by electrostatic charging by induction. The charges do not travel easily from the insulator to the conductor or vice versa, simply by putting them in contact.

The electrons in the insulator are not delocalised, hence they are not able to move freely within its own body or cross over to another body to induce a charge.

Examples:

Answer is A

Answer is D