Of course! Go to the Market Stand and tap it then tap a Market Tray. Choose item you want to sell. Pay attention to Advertise now checkmark above the Sell button. Make sure it is checked and tap Sell. Now your good in the tray is marked with Newspaper icon. It means other farmers can see it in the Newspaper now! But advertisement will last only up to 3 hours and you will never see your own ad in the Newspaper.
The next advertisement will be available for you in 5 minutes. But if you don’t want to wait, you can advertise your goods for rubies.
If you want to advertise the item that wasn’t advertised from the beginning just tap the tray with it and tap Advertise now button.