Hi,
Thank you for posting in Q&A! In regards to your issue, here're my suggestions:
According to my research, is it possible to modify an Always On VPN profile without using InTune, but so far there doesn't exist a method that without deleting/recreating the old profile.
You can configure the Always On VPN client through PowerShell or Microsoft Endpoint Configuration Manager. All three require an XML VPN profile to configure the appropriate VPN settings. Automating PowerShell enrollment for organizations without Configuration Manager or Intune is possible.
For more details, please refer to:
https://video2.skills-academy.com/en-us/windows-server/remote/remote-access/vpn/always-on-vpn/deploy/vpn-deploy-client-vpn-connections[vpn-deploy-client-vpn-connections][1]
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