No. A query takes place and the network is either working or not at that instant, and the system reacts accordingly. CP means it might not be available, but if it is then you'll get the latest data. AP means you'll always get an answer, but it might not be the latest data.

You can make your network reliable in the sense that better infrastructure lowers failures, but nothing is 100% so CAP is about what happens in the inevitable failure scenario. Whether you have 0 failures or 1 per hour doesn't affect CAP at all and has nothing to do with magically making something CA.