Yes, tasso ham should be refrigerated because otherwise there is a risk of it spoiling, just like other meats. Once you have purchased your tasso you should store it inside your refrigerator until you intend to use it. Ensure that it is properly wrapped before doing so. Depending on where you purchase the tasso from, some can last for a maximum of 10 days whilst others can last for as long as 30 days.
It is also possible to freeze tasso ham, however, if you are likely to freeze it you must do so before it exceeds the best by date stated on the packaging. You should ensure that it is wrapped inside airtight packaging as this will prolong how long it will last. In most instances, tasso that is correctly wrapped can last for many months inside the freezer. It is likely that the packaging of your meat will specify the storage guidelines and how long you should expect it to last when stored right.