Using eM Client iPad app V10.4.4146 if i go to Contacts and scroll down and select a Gmail contact, there is a pencil edit button at the top on the toolbar.
However if i search for Gmail contact “and select it”, there is no pencil edit contacts button at the top on the toolbar.
Also if you select the contact after searching and “press the dots at the top right” there is also no edit Contacts button to press.