I live in West Greenwich and yes there are lots of nice bars in both locations, On a weekend Canary Wharf is very quiet and some bars will even be closed, but the bars on Bulters Wharf aren't any are quite pleasant.
In Greenwich walk along the river past the old Royal Naval College grounds (now Greenwich Uni) to the Trafalgar Tavern, and even further along to the Cutty Sark. You can head into greenwich and then out to Royal Hill and the Greenwich Union (brews its own) and Richard 1st are very nice.