What is the definition of 'feasible' in this current context?
If it is about whether such a policy can be implemented in the narrow technical sense, then the answer is in the affirmative.
Will it work?
That might depend on how the policy objective is defined.
Will it impede the effective allocation of resources?
That would depend on what 'resources' mean. Are people merely resources in the service of the economy?
And even if we accept the definition of people as resources, will the lack of a minimum wage lead companies to effectively deploy the people that they hire?
With regard to this point, I recall a ridiculous scene that I had witness several years ago at a work site where an electrical power switching station was being built. There were 6-7 foreign workers standing around, watching 1 other foreign worker operating a small excavator to dig a hold in the ground for the laying of power cables. And there was 1 supervisor there was well, talking on his mobile phone.
At a purely theoretical level, if a given minimum wage policy reflects the relative scarcity of workers (as appears to be the current case in Singapore), then it would lead to a capital-for-labour substitution, and with that comes the possibility of higher labour productivity. Whether the current policy of using immigration to augment the local labour force is an efficient use of resources is debatable, especially in light of the work practices in many local and foreign firms where many jobs currently in existence can be automated away.