The honeybee is very good at polinating.  But it's hardly the only species of insect that performs this function - or even the only species of bee.  LOTS of flies - bee species or otherwise - and other flying insects are quite willing to visit a series of flowers with a small amount of sweet bait and tote pollen from one to another as a side effect.

For instance:  We have a "hive" of "Blue Orchard" / "Mason" bees to polinate our fruit trees.  They are solitary bees:  Each female makes a separate nest with approximately five offspring to overwinter for the next season.  One of our "hives" consists of a sheltered structure with twenty soda-straw like tubes for twenty females to make nests.  "They separate the chambers and cap the nest with mud - which is why they're called "mason" bees.)  The paper liner of each tube is changed each year so any pathogens are removed - and the liner with the young bees is stored in a refrigerator until spring, then placed in a release box below the nest.  This controls the timing of their emergence to coincide with the blossoming of our fruit trees, and encourages them to nest in the box, so we can pop 'em in the fridge.  But they're native to the area:  If we didn't set up the convenient nest site (to insure a large population for our trees) there'd still be a few wild ones that had nested in convenient holes or hollow plant stems.