Namecheap is a US based company (Los Angeles, California) with offices in some other countries as well. In Ukraine, Namecheap has offices in 3 locations.
However, such big web services based companies always have "business continuity" strategies in place, for example, data centers in various locations spread around the world, so that if any location is affected by a natural or unnatural event, then their hostings, etc are always load balanced on an ongoing basis to ensure that services are not affected or if affected then affected for the minimum time possible.
As per Namecheap website, all their data centers and servers are located in only 3 countries : US, UK and The Netherlands and as per Namecheap's website, 95% of their infrastructure is located in the US. So, any unexpected event in Ukraine, will not affect Namecheap's hosting(s).