Hi there,
With your description i can tell that the composite filling done is not very smooth and probably not matched to your natural tooth color.
Yes it can be done again if needed and it will not cause any extra damage to your teeth if the old one is removed carefully under magnification.
Next Steps
Visit a cosmetic dentist who has the expertise in this area for correction/replacement of the current filling
Health Tips
Observe it over a day or two and feel it with your tongue to check for smoothness. ( if its not smooth, it will attract more plaque).
Also, don’t worry! This is something which can be corrected