As both liquids have different density (that is why you can separate them with centrifugation) you can put the blood in the fridge and wait - the two liquids should separate. If they have a different freezing point, you can also cool them down.
This is a great idea. I have thought about the similar issues before and tried a lot of literature research, I found that gravity-driven and microfluidic technology can achieve good serum separation from plasma. These works have been reported frequently in Analytical Chemistry and Lab on a Chip.
Such as Article High-Yielding Separation and Collection of Plasma from Whole...
and
Article H.E.R.M.E.S: Rapid blood-plasma separation at the point-of-need
Of course, the practicality and efficiency of the separation process could be decisive factors in competition with centrifugation.
If anyone, e.g. the author of this question, knows a way to attract serious investors to solve this interesting important problem and thereby eliminate the need to use centrifuges, I am ready to provide a great solution.