No. Our intellect cannot know the singular in material things directly and primarily. The reason of this is that the principle of singularity in material things is individual matter, whereas our intellect understands by abstracting the intelligible species from such matter.
Singulare in rebus materialibus intellectus noster directe et primo cognoscere non potest. Cuius ratio est, quia principium singularitatis in rebus materialibus est materia individualis, intellectus autem noster intelligit abstrahendo speciem intelligibilem ab huiusmodi materia.
The higher power can do what the lower power can, but in a more eminent way. Wherefore what the sense knows materially and concretely, which is to know the singular directly, the intellect knows immaterially and in the abstract, which is to know the universal.
Virtus superior potest illud quod potest virtus inferior, sed eminentiori modo. Unde id quod cognoscit sensus materialiter et concrete, quod est cognoscere singulare directe, hoc cognoscit intellectus immaterialiter et abstracte, quod est cognoscere universale.
Intelligibility is incompatible with the singular not as such, but as material, for nothing can be understood otherwise than immaterially. Therefore if there be an immaterial singular such as the intellect, there is no reason why it should not be intelligible.
Singulare non repugnat intelligibilitati inquantum est singulare, sed inquantum est materiale, quia nihil intelligitur nisi immaterialiter. Et ideo si sit aliquod singulare immateriale, sicut est intellectus, hoc non repugnat intelligibilitati.
Now what is abstracted from individual matter is the universal. Hence our intellect knows directly the universal only.
Quod autem a materia individuali abstrahitur, est universale. Unde intellectus noster directe non est cognoscitivus nisi universalium.
But indirectly, and as it were by a kind of reflection, it can know the singular, because, as we have said above (Q85, A7), even after abstracting the intelligible species, the intellect, in order to understand, needs to turn to the phantasms in which it understands the species, as is said De Anima iii, 7. Therefore it understands the universal directly through the intelligible species, and indirectly the singular represented by the phantasm.
Indirecte autem, et quasi per quandam reflexionem, potest cognoscere singulare, quia, sicut supra dictum est, etiam postquam species intelligibiles abstraxit, non potest secundum eas actu intelligere nisi convertendo se ad phantasmata, in quibus species intelligibiles intelligit, ut dicitur in III de anima. Sic igitur ipsum universale per speciem intelligibilem directe intelligit; indirecte autem singularia, quorum sunt phantasmata.