Yes, if you file a joint tax return, you can see the balance, payment, and tax records information for any tax returns you filed jointly. For tax years that have not yet been filed, each spouse will see their own information in their account. Estimated tax payments can be made by either spouse but will only show under the spouse who made the payment until a joint return is filed.
Sources:
Publication 501 (2023)
Publication 555 (3/2020)
Publication 504 (2023)
Publication 17 (2023)
Publication 1380
Publication 3 (2023)