Unfortunately, that is against state law and can happen only when and if the legislature votes to change existing laws which prohibit consumption of alcohol outside the confines of a bar/club/restaurant, etc.
Fortunately, the legislature is very likeley to adress this issue in the next legislative session. Actually, they did in the last session, passing a law that would have allowed for the creation of such entertainment districts that would allow for the consumption of beer/alcohol outside of clubs in the district. The law was aimed at the River Market, Hot Springs and Dickson Street. However, Governor Huckabee vetoed the new law saying that his conscience wouldn't let him support a bill that promoted alcohol consumption in public places. When the legislature reconvened, they actually came within 1 vote of overriding Huckabee on this issue--so it appears to have a lot of support behind it and there are a lot of folks who seem to think it is a shoe-in for next year.