Not really. It has the same amount of bits, but different organizations of bits have more or less informational entropy. You can randomize the bits, for very low amount of information. You can set them all to 0, which is more ordered, and so contains more information than the random sequence. Or you can have files and folders, which contains a gigantic amount more structure and patterns of information, on many different levels. This concept is important in cryptography for example, where you can take a random looking string of letters, and calculate the entropy of it, to determine whether it contains less or more information, ie, work out if it is actually a random sequence, or if it is a coherent message in a natural language like english, even if you cant yet work out what the message actually is.