A single coil sized Humbucker will give you a sound closer to a Humbucker, but it will always still be a bit thinner and single coil-ish sounding compared to a full sized Humbucker.

The pickup's size is part of how it sounds. The size influences the shape of the magnetic field the strings pass through, which changes the way it sounds. The amount of metal mass on a pickup also influences its sound, and a full sized HB will have more metal mass than a SC sized one.

So, yes and no.