ate eat hat tea the hate heat
4-letter words cent, cuke, cute, keck, kent, kyte, neck, neuk, nuke, tuck, tune, tyke, tyne, yeuk, yuck 5-letter wordscutey
an at am aye on no toe me tea team teem tone atone enemy moat oat note yet met net yam tan man men too to any many ten net noon non my moom ton not toy neat eat meat omen yo onto atom may
4-letter words aals, agar, agas, agin, agma, ails, aims, ains, airn, airs, alan, alar, alas, alga, alma, alms, amas, amia, amin, amir, amis, anal, anas, anga, anil, anis, anna, ansa, arcs, aria,...
I am pretty sure that none can be made.