Welcome to Android Central! Which phone? Are you saying that the screen is broken, and you want to get your contact information transferred somewhere else? Were the contacts associated with your Google account, or only the local Phone account? If they were associated with your Google account, then they should have automatically synced with your Google Contacts in the cloud--go to google.com/contacts and see if they're there. If not, then they were probably in the local Phone account, which will be very difficult to retrieve. Contacts in the local Phone account don't sync anywhere automatically, and are stored in an SQLite database that is not accessible as a file to the user (unless you're rooted).