No, you cannot use any type of print successfully onto a beanie hat or indeed any item of clothing that is wool or knitted and this is because it has a wide weave.  We recommend embroidery only for this type of material.  There are, however a few beanie styles that have a ‘panel’ on the front that is usually a much tighter weave or different material that could take a printed design.  We’d always recommend embroidery as it looks much smarter.