Is there some way of getting the ability to cast 1st level spells without taking a class level? What about 2nd or 3rd level?
Races of the Dragon p.43 has a ritual for Kobolds called Draconic Rite of Passage. It reads, in part:
"Upon completing this rite, a kobold chooses any 1st-level sorcerer spell. He can now use that spell once per day as a spell-like ability, using his character level as his caster level. Each day, a kobold must complete the Searching for the Dragon meditation (see above) in order to recharge this spell-like ability for the day. No kobold can benefit from this rite more than once."
I think this should fulfill your requirement, if you're a Kobold. (I'd recommend
Nerveskitter as your 1 spell, but whatever you like)
Now, depending upon how you interpret the wording of the feat,
Precocious Apprentice feat might work next, granting you a 2nd level spell. Prereqs are: arcane caster level 1st, Spellcasting ability (Int or Cha) 15.
If your class is Warlock, you might qualify for the Arcane caster level 1st. Meet the stat requirement.
The feat reads, in part:
"Choose one 2nd-level spell from a school of magic you have access to. You gain an extra 2nd-level spell slot that must be used initially to cast only the chosen spell."
Choose a 2nd level spell of the same school as your Draconic Rite.
It's got the strong hint of cheese to it, but I think the RAW works. I wouldn't argue with any DM that hit me with a rulebook over this however. I'm not sure you'd actually be permitted to cast your 2nd level spell, since you gain a spell slot but not really the class mechanic to prepare the spell, or cast 2nd level spells per day.