No, that its not the problem that bitcoin solves. You can do distributed consensus just fine without a block chain - if you have to make a choice between two op

No, that its not the problem that bitcoin solves. You can do distributed consensus just fine without a block chain - if you have to make a choice between two options, everyone broadcasts a vote for one of the options and the option with the most votes is the accepted option. The problem that bitcoin solves is that you can not prevent me from casting a million votes because the system is anonymous - or pseudonymous if you want - and therefore there is no list of participants that would prevent casting more than one vote. This is called a Sybil attack. Bitcoin's solution - and similarly that of other block chains - is to make casting a vote expensive, either in terms of computational resources or owned tokens or whatever.