Yes definitely achievable with some time and effort, but as Kieth has mentioned, on the face of it there is a lot of work involved building the project out.
My advice would be really nail down how the booking system should work, the data types involved including the fields and the conditions from both sides of the users - study sharetribe as much as can in the fine details so you have an idea of the little details that bring it all together and then make it your own.
When it comes to the calendar aspect, I recommend custom building this with a simple repeating group and a bit of JavaScript - a model I’ve followed but tweaked is @codurly’s great tutorial: