Dark energy is a concept devised to help explain the expansion of the universe. It is presumed to comprise about 68% of the universe (on a mass-equivalence basis), but it is spread so uniformly throughout the universe that its density is on the order of only 10 to the minus 27 kilogram per cubic meter.
Dark energy is not presumed to clump in matter, but rather to exist as a uniform distribution, either as a cosmological constant invariable through time, or as a scalar field that may change with time and/or vary with position.
As dark energy provides negative pressure, rather than attractive pressure, it acts against gravity. But because its density is sparse and uniform throughout space, it would seem to have no measurable effect on, or in the immediate vicinity of, massive objects. If dark energy clumped within massive objects, I would expect the apparent expansion of the universe to be less than otherwise, as all objects, including we and our measuring instruments, might be expanding along with or even more rapidly than space. In that case, space might appear to us to be contracting.
In other words, if dark energy is uniformly distributed throughout space, without regard to the presence of ordinary mass, one can NOT say that the amount of dark energy within the space occupied by a massive object is greater than the amount of dark energy within the space occupied by a less massive object.
So, to answer your question, NO, not necessarily.