The world could survive without the need for money, however, that'd solely depend on those willing to work for nothing. Everything in life these days costs money (don't post and say 'love, etc' doesn't). Money is a great source of happiness, also. If you think of it, if you had £100m, what couldn't you buy? Take Richard Branson for example, he owns an island.
At the very end of the day, money is controlled by politics. Politics control literally everything. Without politics, there's no money, without money there's no hope.
So, yes, we depend on money, we need it to succeed, succession is invalid without acquired funds.
If this world was built without the dependency of money then by all means we could go without.
This argument can go on forever.