The question is a creationist straw-man. It cannot be answered because "the information of a genome" has never been defined.
You can measure the information of a genome as well as you can measure the information of any given sequence of symbols (http://en.wikipedia.org/wiki/Information#Measuring_information_entropy),
and you need energy to increase information in any system.
Creationists state that you can't increase information in a closed system, and that's true. Anyway they seem oblivious of what a closed system is: something that does not exchange energy with the environment. Life forms do exchange energy with the environment (eating, for example), thus they can increase in complexity. It's simple as that.