Hi,

Have a look at this answer: https://www.odoo.com/forum/help-1/question/record-rule-to-allow-a-user-to-update-their-own-employee-object-without-belonging-to-officer-group-34262

This will give the employee the permission to edit his/her record.

UPTD:

1. Activate the Developer Mode

2. Navigate to Settings -> Technical -> Security -> Record Rules

3. Here you have to create a new record rule

4. Then go to Settings -> Technical -> Security -> Access Control List, then search for the object hr.employee

5. Open the record having the Group as Employee, and tick Write Access as True

Now if you log in the Employee Account he will see only their own record and they will have the Edit Access

Thanks