My understanding is yes, you can. As always there is a 'however' attached....
You will need to prove that the delivery within 24hrs was an essential component of the contract, upon which you relied. It will help your case if you can demonstrate that the supplier was aware of this.
If you can answer Yes to the two points above, then the supplier has effectively frustrated the contract.
I am not a lawyer, and I am aware that I am probably using a little jumbled terminology (my brain is numb from the training course today), but I am pretty certain of the basic premise outlined above.