Hi,
Sure, you don’t even need to delete it, just install the new one, you will be prompted to replace: https://documentation.ajaxsearchpro.com/plugin-updates
However I would wait 48 hours yet, we are about to release a hotfix for a known issue within the latest version. It probably does not affect your setup, but I still recommend wainting a bit. The new version should be 4.22.3, once you see that, then do the update please.