Not really no. An online shop can take payments through PayPal, but also Stripe, Worldpay, Sage Pay and others.
We have worked with them all. Sage Pay is seamless. Works really work. Stripe does too, and charges less than PayPal. PayPal is the most well known. But you don’t need to have PayPal if you don’t want to, hence, you don’t need PayPal to have an online shop.
We are here to help and advise on the best way forward for you.