Yeah,
What happens when you start charging is : Initially there is a large current as the voltage of battery is low. As the battery gets graually charged, the battery voltage (which opposes the charging voltage) increases and thus the charging current decreases. Battery Chargers are basically current regulators which provide constant charging current to battery and provide security such as over-charging protection etc.
Just keep an eye on the adapter. If it heats up when you start charging, you will have to use some more powerfull adapter. But i dont think it will be like that. So you can go ahead with what you have.
Aily