I did the same with bacterial DNA for more than a month. Dry your DNA and seal with parafilm and store at 4C for some days. after that make sure you check your DNA before undergoing any work thereafter.
Yes, your DNA should be at least slightly fragmented, but as Edel comments, DNA is highly stable, so the fragmentated DNA fraction might not be relevant.
You could adress this quite easily by checking the integrity of your sample in a agarose gel 0.8%.
I´ve worked with FFPE highly-degradated DNA samples to make qPCR and Bisulfite sequencing and have no mayor issues.