You can reassign DPs to another site within the same hierarchy. This was added a few years ago: https://learn.microsoft.com/en-us/mem/configmgr/core/servers/deploy/configure/install-and-configure-distribution-points#bkmk_reassign. You may need to convert the Pull DP to a normal DP first and then can convert it back to a Pull DP later -- I can't say I've tested this so just speculating.
Changing site of Windows 10 Pull DP (CM 2207)

Bojan Zivkovic
321
Reputation points
Hi, is still undoable to change site of any DP in CM 2207 hierarchy without uninstallation? I would like to change site of Windows 10 pull DP?
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Bojan Zivkovic 321 Reputation points
2022-10-26T11:00:39.203+00:00 Hmm just read it - site DP is reassigned to must be primary one and in my case I want to change DP site from primary site to secondary site ...
This feature lets you reassign a distribution point to another primary site without redistributing the content. The distribution point's current site can be either a primary or secondary site.