Im not sure what you're asking, but I'm nearly certain the answer is No.

No. Other forces on such objects (sun/earth/moon gravitational pull, solar wind induced pressure, atmospheric drag) would dwarf the gravitational pull of any artificial satellite. No stable orbit possible around them.

What? Like...does a gps satellite have bits of debris orbiting around it? Is suppose potentially, but I suspect the force of gravity from the satellite means there is a very tiny velocity range for an orbit given the other effects on any debris.

If they were traveling without a massive body nearby, they may collect some mirco satellites of their own, but orbiting earth.. highly improbable

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I’d say they don’t have enough mass to create a gravitational pull.