A database is said to be in Kth normal form if it satisfies the first K rules. So, no, a database that satisfies the 2nd and 3rd rules, but violates the most important rule, is not in 2NF and 3NF. In order to be in 2NF, the database must satisfy the 1st and 2nd rules. In order to be in 3NF, it must satisfy all three rules.