As far as i remember that is not possible.
A workaround could be the following. Create a custom Field :
- Name: Record Owner
- API: Record_Owner__c
- Type: Formula
- Return Type: Text
- Formula: HYPERLINK("/" & OwnerId , Owner.FirstName &" "& Owner.LastName , '_self')
Then swap out the standard owner field, for the custom formula on the necessary PageLayout(s).
Note: This will only work, if the Owner is a User, not a Queue. If you have a queue as an owner, you'll have to modify it.