Ukraine has been fighting separatists backed by Russia in its Donetsk and Lugansk regions since 2014 following Moscow's annexation of the Crimean peninsula.
He said Britain had entered into a partnership with the manufacturer CureVac to develop vaccines that could be quickly adapted as new strains were identified.
He said the Kashmir issue is a dispute left over from history and should be properly resolved by peaceful means in accordance with the UN Charter, relevant Security Council resolutions and bilateral agreements.
He said he had also spoken about the issue with German officials, including Chancellor Angela Merkel, who he said wanted Russian or Chinese vaccines to be given European approval.
Hungary so far is the only EU member to have given emergency use approval to Chinese and Russian vaccines.
Britain, where some 9 million people have been given their first dose of a vaccine, said it expected its supply of COVID-19 shots would not be interrupted.