Not for category 1 or 2. But the category 3 rules require you to travel to Italy to obtain your resident permit. Once that’s obtained, you need to hold legal residence for 3 years. It doesn’t specify any physical presence requirements, but to maintain your temporary resident permit in Italy you are usually required to be present 6 months out of the year to be able to renew it. This is unless you opt for the Golden Visa, which does not impose a physical presence requirement. If you chose the Golden Visa, you will need to travel to Italy pretty much only once a year, but not adhere to any minimum day requirements.