Yes, u can get it done, it's called mole excision, there are other options too, and it depends on the type of mole you have.
Yes, it will leave a small suture scar at the site, there will be no white coloured skin or anything later at the site.
Next Steps
You can take your decision,
Health Tips
Visit and take a second opinion on the different procedure for the mope removal. Few moles can be treated with Q-switch lasers, n few needs excision.