Yes, you can join architecture courses without attending NATA.
There are two architecture entrance exam in India at national level. These are NATA (National aptitude test for architecture) and JEE main. Giving any of these two architecture entrance exams, an Architecture aspirant can get a chance to admit into any renowned architecture colleges in India.
Sometimes students aren't be able to crack either of the JEE Main or NATA exams. So they unfortunately left behind to study architecture. But there are other ways to get admission into B.Arch programme without these entrance exams as well.
Indeed, there are some state-level and institute-level architecture entrance exams for aspirants so that they can pursue architecture courses.
Some Institutes which provide B.Arch admissions without a valid JEE Main or NATA score-
So yes, aspirants can get admission and persue architecture courses to full fill their dream without giving NATA or JEE main as well. But obviously they need to complete their 10+2 examination first!