Not if the cell connection is actually turned off I would think, as seems to be the case for the OP.
Engineers were given the task of designing a "phone". They designed it to maximize the battery life. Obviously if you can shut off one of the radios to increase battery life it would be the wifi radio. OP is trying to use a phone in a manner for which it was not designed. Can it be done? Sure, but there are something's he will have to learn to live with.
That being said, the one experiment I have not tried and I think might work for OP is to turn on "airplane" mode. That turns off both radios. Then leaving airplane mode on, turn on wifi. That may over ride the system but like I said I haven't taken the time to check that.