Managing personal Outlook.com account settings, security, and privacy
Hi,
No. If that @hotmail.com address was previously an alias for a Microsoft account, it cannot be added to another Microsoft account or even re-added as an alias to the same Microsoft account after it has been removed.
Once an alias is removed, it is permanently deleted and cannot be added back to any Microsoft account.
Microsoft explains this policy here: https://support.microsoft.com/office/add-or-remove-an-email-alias-in-outlook-com-459b1989-356d-40fa-a689-8f285b13f1f2