Hello, @Nondv
Welcome!
You get the answer from @David.Schmitz who explained well that is not possible to link alternative emails to the same user account.
Now, depending on you scenario, if you create in your account additional users for each of those alternative emails then activating them you can use the Shared Access option.
You can go to the Settings page, under Users find your primary user then in the actions menu on the right, use the Shared Access option then select the other users with those alternative emails. Select one of the option to grant permissions over their envelopes. Finish.
In the Manage page you will see your Inbox and folders. Above them you will see a button Shared Access. Click on that button, select an user so you will see and manage their envelopes.
It’s not what you’re looking for initially, but that could be an workaround.
I hope that shed some light to your need!
Best,
Alexandre