Some say it. But, personally, I am not convinced. As long as the materials are not dissolved, they can not affect the pH. I can tell you that mineral suspended solids do not affect the pH. I do not know what would be the effect of organic suspended solids. I have not found any serious studies on this subject.
Suspended organic matter may affects the pH values in the presence of bacteria and metal traces such as Fe, Mn etc, controlled by Redox potential reactions.
To answer your previous question, Yes, it can be done. But, I do not think that filtration removal of suspended matter will change the pH. That's my belief. It is possible that the pH changes, if among the material eliminated there is organic matter, because it is not inert, unlike sand for example. Dr. Bayan confirms it.
If the suspended matter is a true precipitate then its effect on pH will be negligible. However if it is of organic or colloidal in origin it is possible that despite low solubility pH of the medium may be affected.
I agree with Dr. Bachir and Dr. Bayan. The subject has to be considered with respect to inorganic and organic materials (suspended solids). It also depends on whether the suspended material has any tendency of precipitation or leaching of chemicals, thereby altering the water quality.