Can the Web NFC api be used in Progressive Web Applications?

From chrome 81 you can use NFC https://blog.chromium.org/2020/02/chrome-81-near-field-communications.html

Web NFC API is available only in Chrome for Android and that too when a flag is enabled(try about:flags) enabled.

Unless you are targeting your app for some internal corporate app where you can set the flag in all targeted users browser, I would recommend go with native code or wrapper(cordova or have a native app send in the details via web sockets)

This API is not making much progress since 2015 and so you can expect no magic to happen anytime soon. So don't rely on this API if you are targeting this for a critical app, especially when you cant control the end users browser settings.