Posted: 20/11/2015 at 12:45
Probably not, or not much. Grease bands are primarily to prevent ants climbing trees to 'farm' aphids and to stop Winter moth caterpillars, neither of which are a cause of maggots in fruit.
Maggoty fruit is caused by flying insects, such as the Codling moth and Plum moth. You can buy hormone traps for those which can help a little but are primarily intended to tell you when to spray with insecticide. If you don't want to use insecticides then try the hormone traps alone and you might get a little less damage.
Or just close your eyes when you eat the fruit!