Omnipay: Transfering money form PayPal account to Stripe account

I am creating a laravel project where I am using omnipay. I have never used omnipay before but what I know is that one can transfer money between two accounts (e.g. PayPal). However, my question is, is it possible to transfer money between two accounts of a different provider. For example: The customer is paying with PayPal but I want that money transfered directly to my Stripe acocunt. Is that even possible?