No, your next Economic Impact Payment will not be sent to the EIP Card you previously received. According to the IRS FAQ, funds will not be added to an EIP Card that was already issued for a previous payment. Each new Economic Impact Payment is processed separately, and the method of delivery (whether by direct deposit, paper check, or a new debit card) may vary for each payment cycle.
Sources:
Publication 542 (1/2024)
Publication 5412-G (5/2020)
Guidance Updates Details on Economic Impact Payments
Final Regs Address Excessive Executive Compensation Excise Tax