In general, the answer is no. That is the importance of getting a detailed snagging inspection and a complete snagging report the first time. A never ending list of issues is a headache and costly for a developer. They also want to avoid owners from adding drawbacks they have caused.
Generally, building developers will have a policy in their contracts that you can only submit ONE list of issues and cannot add items once it is submitted. However, major failures will be covered by the new constructions’ 10 years warranty.