No, Ukrainian legislation is very clear on this point: only married heterosexual couples are allowed access to surrogacy.
You can check here the conditions for surrogacy in this country:How Does Surrogacy Work in Ukraine? – Cost & Legal Aspects.
Read the full article on: How Does Surrogacy Work for Gay Couples? ( 45).

Sara Salgado
Embryologist
Degree in Biochemistry and Molecular Biology from the University of the Basque Country (UPV/EHU). Master's Degree in Human Assisted Reproduction from the Complutense University of Madrid (UCM). Certificate of University Expert in Genetic Diagnosis Techniques from the University of Valencia (UV).