Good question and I would say No. There is a lot of pressure on students to start looking early in the junior year but I don't think that applies to everyone. Take your time, ask the questions, and really think about what you want your college experience to look like. It's different for everyone. Don't succumb to the timeline that some of your peers may be on.
Other random tips - don't use your high school e-mail on the FAFSA or applications to schools. Some schools shut those off when you graduate. (Or at least check with your high school.) Look for outside scholarships now. If you have a personal e-mail create another one just for scholarship purposes. (Though you could expand to "college purposes".) Never pay to apply for a scholarship or "help with" a FAFSA. Even reputable scholarship sites will send you extra e-mail. If it's a different e-mail it makes it easier to go through maybe once a week or whatever. If you use a personal e-mail things sometimes can get overwhelming and more likely to be missed.
Hope this helps, least a little.
Last advice that I can give - apologies to parent(s) up front...college is the one thing you should definitely not start…and then stop. You can alter course, change majors, change schools (I don’t recommend but life is life) – just don’t stop! I left college after a year and a half because I didn’t think I knew what I wanted to so. It wasn’t until a year later that a friend of mine told me, “you don’t go to school to learn facts…you’re actually learning how to learn.” (Where was that advice when I needed it? Side note...I have two Masters now...it was just...time that could have been better spent.) I didn’t talk to ANYONE about my concerns and doubts. You have friends, family and likely a HUGE support system at whatever college/university you end up at. Once you start…finish. My mistake was internalizing. And since it was a big state school…no one even really noticed I was gone.
You got this! Save your money and don’t apply to colleges until you’ve visited/talked to at LEAST five. Once you pay that app fee...”sales mode” kicks in. Make sure you get the education and experience that you want...cause it's out there. Cheers!