You can use reauthenticateWithCredential() to verify user's password and then updatePassword() to update it:

import { getAuth, reauthenticateWithCredential, EmailAuthProvider } from "firebase/auth";

const auth = getAuth();

const resetUserPassword = async () => {
  const user = auth.currentUser;

  const cred = EmailAuthProvider.credential(user.email, "[USER_PASSWORD]");

  try {
    await reauthenticateWithCredential(user, cred)
   
    // User entered correct credentials
    // Update password
    await updatePassword(auth.currentUser, "[NEW_PASSWORD]");
  } catch (e) {
    console.log(e.code, e.message)
    // Could be incorrect credentials
  }
} 

Updating password requires a recent login re-authentication is necessary if user is logged in for long time.