Yes a coil can fail when hot. Drive it to get it hot and have a helper and a can of either with you. When it dies check for spark at the plug wires if that's not it then spray a little either in the air intake during cranking. Remebr that this will only help narrow the problem down to ignition and fuel systems. It does not mean that the coil or fuel pump are bad more testing should be performed. Intermitant problems are the worst. Crank (or cam)sensors can cause you fits like this in certain models