Hi.
Yes its possible to eliminate your problem completely especially when you say you do not gave much complaints which means the disease has not progressed too much.
The swelling around your anus is the swollen blood vessels..which when gets inflammed or torn produce other symptoms like pain , bleeding etc.
Next Steps
do consult a homeopath for curing your problem without any surgical intervention.
Health Tips
avoid straining at stool and incorporate high fibre diet and consume lots of fluids to have easy bowel movements so as to not increase your piles problem further.