Yes, but not quite in the way you might imagine.
Notifications for field changes are normally done by the notification scheme, but not at a field level. They are done at the issue-level, and the notification scheme works off "when event X happens, send mail to Y". Any field change is an "edit" event, the field(s) being changed are not looked at. So you can't do it with notifications.
What you can do is turn off the edit notifications completely, and then add automation for the fields you want to get them for. An automation can do "if field X, Y or Z changes, send a custom email to A, B and C"
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