I have an approximately 6 foot corian countertop that was removed from a kitchen . During transport it was droped and broke in three sections all clean breaks. Is there a way to somehow glue or otherwise put the pieces back together without having to pay professionals?

If you want a clean repair without visible cracks you're going to want a dupont certified individual to repair it. I used to build Corian countertops and while the clean breaks certainly help in the repair, it won't aid the home owner too much. There is also a special glue that would be used that the average Joe cannot get. This glue is made to blend the seams and repairs. You might regret trying to repair this on your own. 6' is no small piece of Corian.