Well you can store the DNA information already. But if you really grab a hammer and break it off... no know tecnology up to day will get your data back because the medium in which it resides its destroyed. if you only dissassemble the hard drive and keep the actual disks... you might be able to recuperate the data again.. because the medium exists.
DNA is an acid that contains chemical information...... leave the acide exposed and it will decompose, (it will mix with other elements and it wont be an acid anymore) so yeah with the right technology that can get all the elements that were once in that acid and if you put them all together you will be able to get the DNA information... (good luck finding all the atoms) however there is no need for that since we can already store the information of your dna and save it in computers.
We have the technology to reproduce cells based on that acid..... they can grow tissue already.. so yeah in the future they might be able to get a copy of you...... but your consiousness its a different story.