You can achieve a high level of privacy if you use privacy tools, but that alone isn't enough, because it is easy to de-anonymize yourself when you make a mistake. For example, using privacy tools and sending your coins straight into a centralized exchange does not make sense, because centralized exchanges are data farms, so you can't achieve privacy when you use their service.

For a better privacy, you have to use CoinJoin implementations, as well as decentralized exchanges, but if you do these without running your own node but connecting to third party servers, your ip addresses and BTC addresses would be exposed to whichever server you are connected to, so running your own node is also very important if you want to protect your privacy.