That depends on what kind of safety worries you the most.
The principles of blockchain technology make trying to hack, steal, or guess cryptocurrencies impossible. Every transaction is verified by at least six other nodes in the blockchain, making attempts to doctor the records also impossible. In short, cryptocurrencies are technologically safe.
However, cryptocurrencies tend to be decentralized, anonymous, and unregulated — which gives you complete freedom to own and use your currency, but also gives you no safety net.
If someone steals your credit card information, there are laws and regulations in place to protect you and the bank. The bank’s accounts are insured, and as long as you can prove the card was indeed stolen, you are unlikely to have to shoulder the bills of the thief. There are no such protections in place in the world of crypto. In other words: offers high technological safety, but very little legal safety.
There is more to be said about this topic. Head over to VanillaCrypto if you wish to learn about cryptocurrencies in general.