If your time permits, certainly. It's a good way to build chase experience during the less-interesting storm days and keep in tune with the weather during the off-season.
The startup costs can be a bit higher, since you'll need to buy at the very least a 2-meter transceiver and a good antenna; others may want a mobile setup for their vehicle. Costs can add up quick!
Of course you'll also need to get an amateur radio license. It's not as hard as it used to be decades ago, and you won't need to learn Morse code, but it will require some studying. A good book to get started with is
Now You're Talking, which takes you step by step on how to get that license. Also you'll need to find out whether you have a local SKYWARN group that operates a RACES or ARES net when the weather gets bad. If you're out in a remote rural area, your options may boil down to using the phone to do any spotting.
Even if you don't have an amateur radio license, SKYWARN schools are held annually in many counties. It's a great place to meet other severe weather enthusiasts, learn about amateur radio, and brush up on visual identification techniques that are essential to any kind of chasing or spotting. For example, here is the
North Texas SKYWARN school schedule.
Note that you may not have much independence and flexibility, as the net controller may direct spotters to take up a certain position. You may also be torn between going out chasing on your own and sticking with the net to help with local operations. Chasing is not the same as spotting! The responsibilities and priorities are much different.
Good luck!