You can easily disable express checkout methods like PayPal Express and Apple Pay on the cart page by adding the following code to your storepickup-addons.liquid file within your theme.

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script>
<script type="text/javascript">$(document).ready(function() {    window.ZapietEvent.listen('selected_method', function(method) {    if (method == "pickup") {            $('.additional-checkout-buttons').hide();    } else {      $('.additional-checkout-buttons').show();    }  });});</script>
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