Yes, individuals can open multiple accounts with American Express Personal Savings. This option allows customers to manage their savings more effectively, as they can allocate different funds for various purposes or goals. For example, one account may be dedicated to an emergency fund, while another could be used for saving for a specific purchase or vacation. It is important to note that each account will typically have its own account number, and the interest rates and terms may remain consistent across accounts. Potential customers should refer to the official American Express National Bank website to find specific details regarding account limits or features, as policies may change. Additionally, reviewing the latest terms and conditions can provide necessary insights into multiple accounts and their management.