Is there an English translation of the Abhidhamma? I wonder if there is an English version of the Abhidhamma, in its entirety?
As far as I know, there is no single compiled translation of all the volumes of the Abhidhamma but they are separately translated by several people.

You can find an index of these translations in ATI's Abhidhamma Page.

Note that, although no English translation of the "The Book of Pairs" (Yamaka) is mentioned in the above link, there is one. You can find Vol.1 here. 

Abhidhamma.com also has useful material available for download, including "The Book of Pairs Vol.2".