No, it has to do with fighting spam and DoS attacks.
If there's no lower bound for the fee, and there's no prioritization, there's nothing stopping anybody from sending trillions of transactions to trillions of addresses non-stop.
> the block chain is HUGE
No, it's not. It's 20GB. Many modern games are larger than that.
A 4TB hard drive can be bought for $120. 20GB of that represents the total cost of $0.60. Oh noes!