No, a typical human cannot simultaneously produce both sperm and eggs. Human beings are sexually dimorphic, meaning they develop as either male or female, with distinct reproductive organs producing either sperm or eggs, respectively. However, there are exceptions.
Hermaphroditism: A Rare Exception
Some individuals are hermaphrodites, possessing both ovarian and testicular tissue. Synchronous hermaphrodites are a specific type where mature testicular and ovarian tissues coexist, allowing simultaneous production of both sperm and ova. This is described in the ScienceDirect Topics article on Hermaphroditism. This is a rare condition and not the norm for human reproduction.
It's important to note that while some animals exhibit hermaphroditism commonly, this is an infrequent occurrence in humans. The vast majority of humans develop as either male or female, with distinct reproductive systems producing only sperm (males) or eggs (females).
Several resources, including the Mayo Clinic (https://www.mayoclinic.org/tests-procedures/intrauterine-insemination/about/pac-20384722) and Cleveland Clinic (https://my.clevelandclinic.org/health/treatments/22456-iui-intrauterine-insemination), discuss assisted reproductive technologies that use separate sperm and egg donations to achieve pregnancy, further highlighting the typical separation of sperm and egg production in humans.
Note: The provided references mention hermaphroditism in various species, including humans, but emphasize its rarity. The focus on assisted reproductive technologies also implicitly confirms the typical human sexual dimorphism and the separate production of sperm and eggs in individuals. Further, while recent scientific advancements have explored creating gametes from other cell types (https://www.npr.org/sections/health-shots/2023/05/27/1177191913/sperm-or-egg-in-lab-breakthrough-in-reproduction-designer-babies-ivg), this is not yet a standard practice and does not alter the inherent biological separation of sperm and egg production in typical humans.