Yes you will need to obtain a prescription for Atropine 0.01% eyedrops from a licensed doctor or clinic to treat myopia in Singapore. You may want to check out Dr Por's answer here for more advice about Atropine eyedrops:
Is Atropine 0.01% for myopia licensed in Singapore?
In summary, doctors in Singapore cannot prescribe it for anyone except their own patients whom they have seen and determined that the medicine is necessary. Neither is this medicine available over the counter at pharmacies.