Is It Possible to Remove a Scar on Lip Completely

Thank you for your question.
The lip scars are difficult to hide completely and it depends on how the scar is placed currently. A picture would be very useful to see. For most scars, redoing the scar can usually make it thinner and less noticeable. Sometimes tattooing the scar to mimic the pigment of the surrounding tissue can be effective. The disadvatages are that medical tattoing isnt as deep as conventional tattoos so can fade. Also, if the sun catches your face and you tan, then the pigmented tattoo would ot tan so might be obvious.
Some scars are quite obvious and changing their direction reduces the appearance. 
If you could provide a picture, I may be able to give you a more specific answer. I hope this helps.
Best wishes 
Rohit Seth
Plastic, Cosmetic and Hair transplant surgeon
Bella Vou Cosmetic Clinic

Scars on the lips can be improved dramatically to improve the appearance of the skin and mucosa. I would begin with an examination and a plan for surgical scar revision.

The words scar and completely are not compatible.  Minimize and improve are better words. Thank you for your question and good luck with everything.