What you have more options with on the Joanna are inversions
I'm assuming Joanna means guitar. I have to disagree there, inversions are just as common on the piano, because the root is often in the RH and also just because pianists fingers are not so narrow that they can only play in thirds.
inversions -when you play the chord other than in the sequence root, third, fifth
The definition of an inversion is if the chord starts on the Third or Fifth, which are first and second inversion respectively. When it starts on the root you are in root position regardless of the order after that.
The notes (letter names) are the same on the two instruments, although "middle C" on the piano sounds an octave higher than on the guitar. If you read notation and play middle C on your guitar and then on the piano you will observe that.
To clarify (or confuse) further, chords can also be more loosely constructed with only the third and root being necessary to identify the chord and there may be other notes such as passing notes that are part of the melody and not the chord. This is true for both the piano and guitar.
The important difference between the chord structure of a guitar and piano is that you can REPEAT THE SAME NOTE on the guitar in different places, a piano has only ONE physical representation of a note.
I guess you're asking whether the Emaj chord you play on the guitar can be replicated note for note on the piano, the short answer, yes.