As of now by writing this post, deleting or editing the Cash App Transaction History is not possible. But, if in future it becomes possible, we will update this post. Furthermore, be informed that all the activities any user does on Cash App, get saved in the activity section and remain saved for always. Transactions like sending and receiving money to and from contacts always remain saved. Whether you made any transaction intentionally or unintentionally, it doesn't matter. All kinds of payment history remains saved and intact for good.