As jdunlop has already explained in his answer, for a true Hybrid no, simply not how genetics work.
If you drop the hybrid and go with some form of lab grown Chimaera instead then the answer could be a qualified yes.
As the cells making up the pertinent portion of the gonads or ovaries that produce sperm and eggs will be then either entirely human or entirely something else .. so your chimera will be able to mate successfully with the species corresponding to the genes of those cells and the offspring is going to be entirely of that one species.
Your chimera will be able to mate successfully with the species corresponding to those genes.
Well, at least with respect to sperm penetration of the egg cell and the beginning of cell division.
Physical ability to do so is another matter, depending on species one might be too large or small for the other to actively couple with it, and the 'equipment' might not be of compatible types of course.
Whether it feels any inclination to do so is of course yet another matter.
And womb environment can also be an issue when it comes to a developing embryo actually reaching term as the wrong species womb for the developing embryo may not (depending on species) provide a 'welcoming' environment for the developing embryo which will then die.
Things like body temperature and acidity of womb environment matter quite a lot and can vary considerably species to species.
But those are all issues that with careful choice of species used can be managed or avoided.
An alternative option is to surgically remove the gonads and ovaries of all your hybrids before sale and replace those parts with lab grown human ones of the buyers choice .. thus making them into chimera as well as hybrids of course.
Tissue rejection of the new gonads or ovaries can be avoided by 'inoculating' the hybrid against rejecting the chosen cell line for its new gonads or ovaries by simply injecting a small amount of cells from that cell line into it while in the womb before it's immune system 'calibrates' itself.
You'll find some link resources to help explain that 'inoculation' here.