No, the International Criminal Court (ICC) has not issued an arrest warrant against Russian President Vladimir Putin over alleged war crimes.
The ICC is an international tribunal based in The Hague, The Netherlands, which prosecutes individuals accused of genocide, war crimes, and crimes against humanity. To date, the ICC has not issued any arrest warrants against Putin, though the court is currently investigating alleged war crimes committed by Russian forces in Ukraine.
The ICC does not have the authority to issue an arrest warrant for a sitting head of state, which is why it is not actively pursuing charges against Putin. However, if any evidence of war crimes committed by Putin were to be found, he could be tried for them after leaving office.