The short answer is: almost certainly not, as long as you do things right. I’m going to give a bit more of a broad explanation for anyone else stumbling upon this thread later.
The first consideration is whether or not you’ve implemented HTTP Public Key Pinning (HPKP). This is an extremely uncommon setup, as it introduces a large degree of complexity with debatable benefit. Still, if you have implemented this, then you will need to take special considerations when migrating to Let’s Encrypt. This is not the same thing as OCSP stapling (SSL stapling), which I see you have set up in your config. OCSP stapling will not cause you any troubles here.
Also of note - if you have a non-DV certificate at the moment (e.g. OV or EV - the rather expensive ones that give a special green bar with your business name) then you will lose the green bar. I don’t suspect this is the case, but it’s a worthwhile consideration.
Now, assuming you’re not using either of those two not-particularly-common setups, you shouldn’t have any issues. Just be certain that your certificate covers all domains your visitors might use, such as domain.tld and www.domain.tld and you should be good to go.