WordPress and lodging house software

[ Moved to the Fixing WordPress sub-forum. ]

Good day to everyone.

I have to create a web page for a hostel, however it has to have a room reservation process, the problem is in the exact availability (connected to a software that they already bought) to ensure that there is no more than there is .

My question is if it is feasible to apply this using wordpress?

My possible solution: Connection between WordPress database and Hostel database