Yes, it is possible to do serial scar excision to help improve your current scar. I would suggest an in person consultation to evaluate the scar. You likely don't need to vertical component as you have drawn (although that is very creative).
Simple answer, yes this is possible but it may take many procedures over several years. After each excision, complete healing with be required and the skin must be allowed time to stretch, typically 6 months between excisions. You could also consider a neater horizontal scar which would be technically easier and done in a single stage. Best wishes.
There are many patients interested in scar revision. You should speak with a board certified surgeon to discuss your options. Serial vertical excision is rarely employed to treat this type of scarring. Best of luck.