Is it possible to remove the moles on my lip? (photo)

The mole on you upper lip appears raised.  Raised moles can normally be shaved off leaving a minimal scar.  The darker mole on your lower lip appears flat.  This would most likely need to be excised, but could still be done with minimal scarring.  In both instances, any scar should be less noticeable than the moles themselves.  

Get those ugly moles removed !  They are easily excised under local and the resulting mark is minimal and fades nicely with time.

Yes, this can be removed. I recommend getting a formal evaluation with a cosmetic dermatologist. Moles can be removed with laser, radiowave or shave. See an expert. Best, Dr. Emer