Yes, once you download IBKR Mobile from the App or Play store, access the Service menu using the link in the top left corner of the login page. Tap the "Sign Up" button at the bottom of the window to sign up for a free Paper Trader trial account.
The functionality of the paper trading account is the same as the production version, and offers access to the full range of products and trading tools using delayed prices for exchange traded instruments and real-time prices for OTC spot forex and metals. Trades performance is tracked with simulated funds using actual commissions, interest rates, and margin requirements.
You can convert your free trial account into a live IBKR Pro account with your same username and password by completing the account application and funding your live account.