Yes, it is possible to connect WooCommerce with MailBluster using the WooCommerce Plugin, Bit Integrations Plugin and the MailBluster API key generated from the MailBluster app. You need to first install the WooCommerce Plugin to your WordPress site.
Then you need to install a 3rd party integration tool to your WordPress site called Bit Integrations Plugin.
Finally generate API key from MailBluster and connect Bit Integrations with MailBluster and WooCommerce.
Connecting MailBluster API with Bit Integrations.
A detailed guide on how to connect WooCommerce with MailBluster can be found here.