Only show shipping methods based on days to arrive

Shopify Partner
7 0 1
We have a current client who ships frozen pizzas from their restaurant and bring them to shopify.
Currently its a WooCommerce site with a plugin that takes the shipping zip code from the checkout info, checks with UPS to get the time in transit and then only shows shipping options that will allow the pizzas to arrive in 3 days or less.
So if ground shipping will take 3 days, that is listed as an option. But if ground shipping will take 4 days, that method is not listed and instead will only show 2nd day or next day shipping as an option.
Can we do the same thing with the built in UPS shipping service
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