Probaby not, but it depends on your campaign. If you use Deities and Demigods, then all abominations have Divine Rank of 0. Therefore, it is beyond the ken of mortal spellcasters to shapechange into one. Alternatively, you could use the flavor text in the abomination description about them having a "divine spark" to mean that they are at least equivalent to demigods and therefore not a valid form for shapechange.
At the very least, they can look like one. You might also let them continue to cast spells (thus possibly immitating one well). They just wouldn't have any of the stuff that they normally would have (Sp, Su, subtype, DM's choice, etc.).