Yes, it is possible. Your claims history is not the only factor your insurer looks at in setting your premium. All insurance, including motor insurance, is about pooling of risks. As such, a pool with high claims experience will have higher premiums. Inflation in labour and material costs could also result in higher claims costs. There are also other risk factors that insurers have to consider in their pricing models in setting your premiums, as explained in question 6.
There are more than 25 motor insurers in Singapore, each with their own pricing models. You are encouraged to shop around for a suitable policy based on your needs.