Yes, definitely possible. I do that all the time.
However, I have found that its a very difficult process.
1. It takes a long time to unload, particularly at bad terrain provinces.
2. Troops seem to suffer a penalty for making a seaborne assult....my impression anyway.
3. If the enemy have fleets nearby, it WILL attempt to intercept you. So far I haven't failed one attempt but I am not sure what will happen if the transport fleet is forced to retreat while the army is still in the process of being unloaded. Maybe I should deliberately lose a naval battle to find out......