Yes, because Haven is based on the Monero codebase it inherits all of its privacy features. Monero was chosen as it is widely considered to be the leading privacy focused cryptocurrency in the space and has a very active group of developers working on continuous improvement of the protocol.
• Ring Signatures- are used to hide the identity of the sender of a transaction
• Ring Confidential Transactions (RingCT)- are used to obscure the amount of coins in any transaction
• Stealth Addresses- are used to hide the identity of the person (address) receiving any funds
Haven's privacy features are by default and are integral to the codebase, therefore it is not possible to accidentally make a transparent transaction.