Compare a lump of silver ore and a silver dollar. There is no "natural" process, whether chemical or physical, where that lump could transform from the ore to the coin.
ATPsynthase is a complex nano-machine which can not self organize through chemical reactions (and by the way, ATP is required to produce the energy for all other processes to occur...it has to be there from the start)
Blood clotting is a complex process requiring 13 dormant proteins to activate in a cascade, one at a time, to clot blood. What chemical process would store 3, 5, 7, 10, 12 proteins until the 13th "evolved", cause those 13 proteins to lie dormant until required, and then shut off the process before your body turned into one giant blood clot? That requires intricate timing and control mechanisms which, again, cannot be attributed to chemical processes.
Hence, the information to do all of this must come from somewhere (perhaps SomeOne) apart from the processes...an intelligence of great magnitude.
Bottom Line: information cannot be a property of "stuff"
Assuming that to be the case, and that the term "information" is consistent with the definition you posted earlier, who would be the other party in the required mutual agreements?