I don’t have any personal experience with this kind of migration, but if you can export the 4000 pages to an csv file, then you can definitely import it into WP.
WP has a few csv importers and most of them (if not all) can import data also into the wp_postmeta (custom fields) table.
I just searched on google, and the first result is a github repo containing a WP plugin t import xls and ACF!
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