'afford possibilities' is correct and usable in written English.
You can use it when you want to refer to something that gives someone the chance to do or experience something. For example, "This grant will afford many students the possibility to attend college."
However, as these technological affordances become embedded in larger infrastructures (practices, systems, spaces, organizations, etc). it becomes increasingly difficult to use the technology in ways other than in the way it was set up to afford possibilities (or not).
Narratives thus afford possibilities of understanding the past [ 22].
Recent developments in biomedical informatics research have afforded possibilities for great advances in health care delivery.
Many of these processes are likely to be linked, thereby affording possibilities to improve vaccine design and to develop new therapies for autoimmunity.
The system thus affords possibilities for further development for quick, more accurate and full scale determinations of shelf life, the design of spoilage indicators, rapid identification of undesired microorganisms and rapid measurements of spoilage.
The advantage of the fractional derivatives in theory of viscoelasticity is that it affords possibilities for obtaining constitutive equations for elastic complex modulus of viscoelastic materials with only few experimentally determined parameters [15].
Furthermore, these data provide important new insights into the pathophysiology of creta placentation, affording possibilities for studying its underlying mechanisms and gestational consequences.
The greater likelihood that obese women seek partners on the internet, which might increase the chances of finding a partner without surveillance as well as affording possibilities to conceal weight, can also reflect a stronger social pressure regarding weight for women.
The rational design and deliberate synthesis of metal-semiconductor hybrids in a smart configuration will afford more possibilities toward solar energy conversion.
Four natural horns in the orchestra and other middleweight winds guarantee a warm, brazen sound and afford many possibilities for "mistunings" that are right.
By using the hybrid model, the modeling of the damage evolution affords possibilities of determining macroscopic effects of the steel micro-defects.
