Yes! Moves+ does allow Samsung users to track their steps, running, cycling and swimming via the Health Connect app.
Note: You cannot connect the Samsung Health app directly to the Moves + app.
Step-by-Step Guide
1. If you haven't already, Download Health Connect on your Android device.
2. Grant Health Connect permission with Samsung Health.
3. Finally, if you haven't already connect the Health Connect to Moves+.
Once connected, your activity data from Samsung Health will sync with Moves+.