No. One is an incorrect English attempt to translate the Hebrew name for the One God given to Moses while the other is the English translation of the Arabic word for God which literally translations "The God," referring to the One and only One God, the God of Abraham.
Well, we're left with the notion that catholics worship and adore the same god as muslims.
To be clear though....Christians do not worship or adore anything regarding Islam.
We follow God, Who is the same in both Old and New Testaments.
He does not change.
He is the great I AM.