Compatible with ChiroTouch office management software?

I’d like to find out if Calendly can be made to feed appointments into ChiroTouch software, a chiropractic office management system. 

It seems ChiroTouch is a bit behind the times in developing their extensibility and have no way patients can make appointments online. The most they can do is provide a server password for their chiro client’s appointment database and Calendly ‘capabilities’ (APIs, make, zapier) would need to take it from there.

I’m not a developer so I don’t know what database specifics are needed, but assuming it’s straightforward, can anyone estimate a range of time and cost for something like this?