No, the International Criminal Court (ICC) has not issued an arrest warrant against Russian President Vladimir Putin for war crimes in Ukraine.
The ICC does not have jurisdiction to prosecute war crimes and crimes against humanity in Ukraine as the country is not a signatory to the Rome Statute, the treaty that established the ICC. The ICC can only investigate and prosecute individuals for crimes committed in countries that are signatories to the Rome Statute.
The ICC has, however, opened a preliminary examination into the situation in Ukraine since April 2014, which could potentially lead to an investigation in the future. At this stage, however, there is no indication that an arrest warrant against Vladimir Putin has been issued or will be issued in the near future.