Would having intercourse while on eliquis cause a potential brain bleed? especially if the position puts pressure on your head or neck?

Eliquis does not cause or promote "brain bleeds", and only affects blood coagulation. An intracranial hemorrhage can be due to trauma, rupture of vascular malformations or aneurysms, malignant hypertension, or can be associated with several hematological conditions such as hemophilia or thrombocytopenia. If you fear positional risks, see your doctor and evaluate your specifics.