It is not as clean as what I assume you are hoping for, but, you could have the multiple records options stored, and the “public one” that you want to share as the first record ( business card etc.) and others for your personal use.
I made an example, using NFC Tools, I did 3, but could have kept going until I ran out of my 868 bytes
1st record was a simple text one “First Record”
2nd record a url first record.com
3rd record a VCard for @Eriequiet
( It would have made more sense for me to do the link or Vcard first as an example, but it was simply for demonstration purposes, i’m sure you get the idea )
When I scan my implant, I get the text record to share.
If I want to access the other records, I can open NFC Tools to see and intereact with my other records