Zelle does not integrate with Chime. This means that you cannot send money directly from Zelle to Chime. However, you can still receive money from Zelle to Chime by linking your Chime debit card to your Zelle account.
You can't send money to Cash App through Zelle, but you can link a bank account as a workaround. Link the same bank account to your Zelle and Cash App accounts. Transfer your Cash App balance to your bank account, and then send that balance with Zelle.