receiving emails

Yes if accounts are added in Mac system preferences > internet accounts see these articles .

Use your Internet accounts on Mac - Apple SupportUse your Internet accounts on Mac – Apple Support (AU)

Change Internet Accounts preferences on Mac - Apple Supportsupport.apple.com › en-in › guide › mac-help › mac

Add an internet account - Apple Supportsupport.apple.com › guide › mac-help › mac

And the exchange accounts must be always online Take email accounts offline or online in Mail on Mac - Apple Support

NKWBE Said:

"receiving emails: Can I still receive my emails from my other accounts?"

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Can't Receive eMails?

Use a New App Password:

Do you use an App Password? If so, try a new App Password. Sometimes, changes (i.e. updates) are made to the device, and then mail server syncing becomes an issue (which is what a new App Password it intended to fix). For example, you'd go here for gmail: Sign in with App Passwords - Google Account Help - Google