Yes. Try https://aliceapp.ai, the iOS app's in the AppStore: https://aliceapp.ai/app. I created this specifically to be as privacy conscious as possible. There's a small, but strong team of engineers behind this and I'm the primary investor. It's not perfect, but works pretty well, with many relying on it everyday.
From the FAQs: https://aliceapp.ai/faqs
Is Alice secure?
* We don't ask for your name.
* We don't require your real email address, nor your phone number.
* We don't use passwords to login, to avoid easy or re-usable passwords. The login process is Two-Factor Authentication (2FA) by design.
* We don't track your location.
* We don't ask for access to your contacts.
* We don't ask you to allow push notifications.
* We don't store your credit card information in our database.
* We don't use tools like Google Analytics to track your behavior.
* We don't drop any cookies from Twitter, Facebook, Instagram, et cetera (i.e. any social network) to track browsing habits.
* We aren't on social networks. Our focus is on the product and on communicating directly with you via email, text or phone. We are not into the game of getting "likes".
* We don't prompt you to give us a five-star rating on the App Store.
* We don't annoy you with newsletter signup popups.
* We don't serve you ads.
* Alice is only listening when it's obviously recording. Otherwise the mic is off by default.