You are allowed to register any domain without supporting documents as long as they are not the following...
go.ke: This domain requires supporting documents from the Department of Government IT Services (GITS) at the Ministry of Finance. GITS should give an Authority Letter to show that the Entity is a valid Government institution or Agency and authorized to register the domain name.
ac.ke: This domain will require either a copy of the Certificate of Registration from the relevant Ministry, a copy of the College Charter, or a copy of the Act of Parliament that was passed to establish the Institute. The documents MUST bear the name of the Entity. The document should classify the Entity as a Tertiary Institution: Polytechnic, Technical Institute, College, or University.
sc.ke: This domain will require a copy of the Certificate of Registration from the Ministry of Education. The document MUST also bears the name of the Entity. The document should classify the Entity as a Kindergarten, Primary, or Secondary School.

Kenya