Implement appointment slot booking with payment option

I’m trying to implement an appointment slot booking system where people can simply pay and start chatting/calling with a professional. What I mean is that on a particular page there would be a list of professionals(for example lawyers) with some descriptive information about them. Customers could then verify themselves with email or a mobile OTP system and then pay for a slot through a payment gateway.
I understand that it is a huge ask and not actually truly a Magento use case but my client’s website is already built on Magento. I understand that building this sub-platform on a web-based framework such as Laravel and then integrating with the website would make more sense but I want to check if anything on Magento would allow me to achieve the same.
A close example of what I’m trying to achieve: https://www.apollo247.com/specialties/dermatology
Thank you so much for any and all help!