Short answer: Yes — Bangkok is generally very safe for tourists. Watch for petty theft and scams.
Bangkok ranks among the safer Asian capitals for tourists. Petty theft (pickpocketing in markets), tourist scams ("temple is closed today, take this tuk-tuk to a gem shop"), and traffic accidents are the main risks. Violent crime against tourists is rare. Solo female travelers report feeling safer than in many Western cities. See full Bangkok guide.