Currently, we do not offer an option to generate BLIK codes or send BLIK phone transfers in the ZEN.COM app.
What you can do instead
You can top up your ZEN account using a BLIK code generated in your banking app. See this article for more details about account top-ups with a BLIK code.
You can send money to the phone number of another ZEN.COM client via ZEN Buddies. See this article for more details about ZEN Buddies transfers.