Are we born to either like or hate beer? I know some people like beer so much while some other resist do drink, is it determined by DNA? Can the situation be changed?
Beer is a taste preference, and therefor the chances exist that you may "learn" to like beer. 

As a child I tasted the pale mass-produced lager that my father drank and I did not like it. But children (usually) prefer sweet over bitter.

As we grow older, our taste change and we learn to enjoy a more varied amount of flavours, including bitterness, and we then start to enjoy beer more.

Another thing to take into consideration: There are MANY different types of beers! A person might love sour beers, but hate IPAs. Or prefer Bocks over fruit beers. It is a personal thing, but it means that, even though you do not like one style of beer, it does not mean that you will hate all beers!

As a brewer once said: "If you have have not found a beer you love, keep drinking more beer"



For reference: 
Explosm.
http://explosm.net/comics/52