YES! Though vaccinations does not mean you cannot get COVID-19, as with any vaccination, it is more and more obvious that it gives you a lesser chance of ending up being hospitalised as can be seen in different studies. An interesting way to see why it works is shown in these movies here and here (in Dutch but very easy explanation).
I have made a comparison image with the “daily new confirmed COVID-19 cases per million” and the “number of COVID-19 patients in hospitals. You can find it here. As you can see though the number of cases is similar, or even higher, the number of hospitalisations is lower every single time. This clearly shows that vaccinating helps and puts less pressure on the health care systems.A larger version of the image can be found here.
Some extra information: