You can use the Fibaro FGRM-223 for your shutters and FGR-223 for general purpose including open/close of valves when you use electric valves (there’s simple ones to use thermoactive foam at ~15€). You’ll also need a ZWave controller like z-wave.me UZB or the Aeotec controller.
But other than that, the answer is NO. Sounds like you don’t have a plan.
You need a real carefully thought-out plan before you may start messing with the heating system.
This isn’t for kids but the probably most challenging part in home automation.
You must not arbitrarily invade independently working systems, that I (and hopefully all others) will not help you with.
Definitely you should not start your HA journey with that.
I want to draw the shutters when I leave the house and turn off the heating.
2 I want to turn on the heating prior to my arrival back to home.
If I buy 20 Fibaro (one for each shutter) do I need anything which supervises them or can I control a set of them (move all shutter in one room)?
The thing is that I would not do any DIY, what I am look for is a Computherm Q4Z to control the heating. The problem with that the heating will be “offline” and it can be control remotely, only via RF thermostat.
You mustn’t implement stuff based on user stories. You need proper knowledge about how those technologies work and what’s the logic you ultimately want to carry out.
Hire some knowledgeable installer or integrator to do that for you. Or dive into yourself, but note that requires you to thoroughly work into things which is a time consuming task you cannot finish within a day or week.
As I said this isn’t for kids.