Aside from the Samsaran Mystic Past Life racial trait is there any way for a first level wizard to gain cure spells as spells known at first level?
After looking into adding spells to caster lists extensively when building a pathfinder character, I found a few methods to do so, but none that worked at level 1 other than Mystic Past Life.
To my knowledge, which is extensive if not absolute, there is no way to add spells to a list as a first level wizard beyond that ability.
There may be a way to do whatever it is you want cure spells for, but to gain specifically arcane cure spells at first level without just taking a level in one of the classes that gets arcane cure spells, the only way I know of is Mystic Past Life.
I don't believe so.
If this is a pre-character-building question, the White Mage may be something to look at. If this is an in-campaign question, I fear you may be out of luck. Short of finding scrolls or a wand and having a good Use Magic Device skill bonus, I don't think there's a way to actually put the Cure spells on your spell list.