I'd say no. It appears to only have 3G 2100mhz and Koodo uses 850/1900mhz. . You can use willmyphonework.net to see if just about any phone will work on just about any carrier worldwide for future reference
The Sony Ericsson W595 is an older phone released back in September 2008 and is discontinued. The site, Gsmarena, is a good resource for researching phones and comparing specifications. If buying online from a private seller, it's a good idea to check the IMEI number before purchasing. You can check IMEI numbers here.