Okay, if you're desperate to qualify, here goes.
Get a Drakehelm with Haste in it, or a Haste Knowstone. Take the feat that lets you cast a few cantrips, giving you Arcane Caster Level 1. Take Precocious Apprentice, netting you a level 2 spell slot. Heighten + Earth Spell (or a metamagic reducer on Heighten) lets you heighten a cantrip into that level 2 slot, raising it to level 3. Take Practiced Spellcaster to get that caster level from 1 to 5, allowing you to take Extra Slot, granting you a spell slot one level lower than you are able to cast. With Heighten, you can cast a level 3 spell, so you get another level 2 slot. You can now use Versatile Spellcaster (assuming those cantrips are spontaneously cast. If they aren't, you need another feat to let you cast something spontaneously) to create a third level slot, which you can cast Haste out of.
Phew. Note, this convoluted plan would devastate any character trying to undertake it. If you can't retrain feats (or use DCFS/PsyRef), don't even begin to think about trying this.