Yes! Certainly! A national poll between January and April would most likely have confirmed that a significant majority – probably mid-nineties percent (?) – wanted “Independence” from Britain on May 26, 1966.
Any such referendum would have also revealed that a majority of the then populace did not fully grasp the concepts of “Constitutional 
Independence” or full “self-government”. And what was “sovereignty” anyway? Was not the British Queen still our Head of State on 27th May 1966? With her now/then Governor-General representing her, as we, independent citizens remained Commonwealth citizens also?
Yes, those considerations and understandings were all submerged as we who were “big enough” children and adults in May 1966 immersed ourselves in the pomp, ceremony, colour and emotions of the