Yes, customers can purchase mobile phone insurance at an Optus Shop. Optus provides a variety of insurance options for mobile devices which aim to cover damage, theft, or loss of the phone. The specifics of these insurance plans can vary, including coverage limits and terms. It is advisable for customers to inquire directly at the Optus Shop for detailed information about the available options and any associated costs. Staff members at the store are knowledgeable and can assist in making the right choice based on individual needs. Additionally, it may be beneficial to look on the current Optus website for more information about mobile phone insurance products and any additional terms and conditions that may apply.