Maybe if you also don’t have any credit cards, or bank accounts, you might be safe.
Bank Accounts are just fine if you choose a Credit Union, it is virtually IMPOSSIBLE to transfer Money OUT of MY Credit Union without Physically walking in and filling out a bunch of papers.
You guys are forgetting that other data sources have your info without you doing any online transactions. Consider the IRS records, local county tax records, real estate records, credit report companies, etc. You may not enter or place your info online, but somebody else does.