Is it necessary to have a signed declaration with the family doctor to receive a sick list?

No, it is not necessary.

The procedure for obtaining a certificate of disability (sick pay) is the following:

1. you visit any primary care doctor (pediatrician, therapist);

2. the doctor conducts an examination; and

3. on the basis of the examination, the doctor forms a medical certificate of temporary disability, which (i) confirms the fact of temporary disability and (ii) is the basis for issuing an electronic certificate of disability (E-sick pay).

Certificates of disability are available in the personal account on the web portal of electronic services of the Pension Fund of Ukraine at the link.