Sadly, this does not seem possible. There seem to be some tendencies that are "hard wired" into our nature (the seven "deadly" sins?) that make us, in general, more concerned about ourselves than each other. Even a cursory acquaintance with history will provide almost endless examples of this behavior.
But if we look at some of our best attempts at overcoming these tendencies, the Utopian (Socialist) Communities that have been established by men and women of similar noble ideals, we find a dismal record of failure, usually caused by the same deadly sins that plague the rest of us.
A good example of this is found in William Bradford's "Of Plymouth Plantation." The original colony had been set up as something of a religious/socialist experiment, but even that attempt had to be scraped. Here it is in Bradford's own words:
All this while no supply was heard of, neither knew they when they might expect any. So they began to think how they might raise as much corn as they could, and obtain a better crop than they had done, that they might not still thus languish in misery. At length, after much debate of things, the Governor (with the advice of the chiefest amongst them) gave way that they should set corn every man for his own particular, and in that regard trust to themselves; in all other thing to go on in the general way as before. And so assigned to every family a parcel of land, according to the proportion of their number, for that end, only for present use (but made no division for inheritance) and ranged all boys and youth under some family. This had very good success, for it made all hands very industrious, so as much more corn was planted than otherwise would have been by any means the Governor or any other could use, and saved him a great deal of trouble, and gave far better content. The women now went willingly into the field, and took their little ones with them to set corn; which before would allege weakness and inability; whom to have compelled would have been thought great tyranny and oppression.
The first triumph of capitalism :) And perhaps the reason we will never have a crime-free society: pride, envy, greed, lust, sloth, gluttony and anger --- those seven deadly sins referred to above.