The administration and maintenance of Microsoft Exchange Server to ensure secure, reliable, and efficient email and collaboration services across an organization.
You can delete them, yes.
You can delete all of them and recreate:
https://learn.microsoft.com/en-us/answers/questions/60635/healthmailbox-cleanup.html
You can delete them all with powershell:
Get-Mailbox -Monitoring | Remove-Mailbox
Make sure you also read this and give the necessary permissions so the AD objects are removed:
https://learn.microsoft.com/en-us/exchange/troubleshoot/administration/remove-mailboxdatabase-cannot-remove-health-mailboxes
Otherwise, remove the AD objects manually
Then restart the Microsoft Exchange Health Manager, MSExchangeHM service on each 2013 server to recreate them.