EMF provides a way of dealing with dedicated implementation for EOperation and derived EAttribute using "invocation delegate". This functionality allows you to put some implementation directly in your ecore metamodel in a string format (as soon as the used language can be "handled" by EMF, i.e, an invocation delegate exists).
As far as I know, OCL is well supported: https://wiki.eclipse.org/OCL/OCLinEcore#Invocation_Delegate
The registration of the invocation delegate is performed either by plugin registration or by hand (for standalone usage), and the mechanism works with the EMF reflection layer (dynamic EMF): https://wiki.eclipse.org/EMF/New_and_Noteworthy/Helios#Registering_an_Invocation_Delegate
(Please note that I never experienced this mechanism. I know it exists, but I never played with it.)
EDIT>
It seems that the question was not related to dynamic code execution for derived attribute, but to code injection (I misunderstood the "Is there a way to take a String and specify this String as the implementation for the computation of the derived feature?").
EMF provides a way of injecting code placed on the ecore metamodel directly into the generated code.
Here is the way for EAttribute with derived property. The EAttribute should have the following properties set to true: {derived volatile} (you can also add transient). If you only want a getter and no setter for your EAttribute, you can also set the property changeable to false.
Once your EAttribute is well "configured", you have to add a new EAnnotation with the source set to http://www.eclipse.org/emf/2002/GenModel and an entry with the key set to get and value set to your code that will be injected (see image below).

And voilà, your code will be generated with the value value injected in your getter.
You can add the same process for EOperation using body instead of get.