We can make a magnet with only one pole.
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Answer:
say no. As a matter of fact, poles are not real anyway. If you look for one you can find it. The face of a magnet has varying flux all over it so where is the pole exactly.
Here is my thought experiment that I believe refutes the idea that poles are real in some way. Take three iron rods that have no bulk magnetism (nothing ferromagnetic is draw to the ends of the rods) and place them in a magnetic field sufficient to motivate the rods to adjust their positions. Or, more correctly sufficient that the field adjusts their positions. Because the rods are far more permeable than air, the field will congregate in the rods because that is an easier, lower energy path. And the lowest energy position for the three rods will be a triangle with ends touching. If you pull two rods ends apart you have to exert force, and you cause the field to to take a higher energy path. When you let the ends go they move back to the lowest energy location that is possible. It is like pushing a bike up a hill to a higher energy state and when you let it roll downhill it is moving to the lowest possible energy state. Remove the field and the rods return to their not magnetized condition with no poles. What we designate as poles are a manifestation of the field, and they are not part of the iron. They are a fiction, just like lines of flux which are also a human abstraction.
We don’t talk about poles with gravity and poles don’t add much to the discussion of magnetism either. It is far more useful to think correctly about the intermingling of fields and permeable objects.
Even magnetized iron has only the intermingling of much tinier fields to produce a field resulting from the predominant orientation of those little fields. The fields commingle and superimpose their orientation and magnitude to produce a rod that you can point at the ends and see the field draw in other items and it looks like a thing that is attracting other things. But, that is just not what the field does. There is only attraction from a human perspective. In the field it is the field and the items it influences moving to the lowest energy state. Like water running downhill.
All the magnetic fields we have ever seen have the same basic topology. There is a core in the field where the phenomena is greater, and if you imagine surfaces of equal potential they exist out away from the core region and the whole shape is sort of toroidal. If it isn’t like this, then it simply is not magnetism.
Gravity is sort of mono-polar, but we don’t make the mistake of applying that nomenclature to it. The phenomena of gravity emanates from a mass in all directions and does not loop back. That is the best model I can come up with for a monopolar effect. Magnetism and gravity are not alike.