Is it possible to say I am not going to bond my life with... ? I have not found examples where "Bond" would used with a noun between BOND and WITH.
For whatever weird reason, it is idiomatic to talk about a bond (noun) between one person and another:
The bonds of matrimony should not easily be broken
They had made between them an unshakable bond, to protect each other unto death.
but it is not as common to talk about bonding (verb) your life with another's. This isn't to say you can't do it, but it should be a deliberate play on words:
They say the bonds of matrimony are not easily broken, so I don't plan to bond myself with anyone until I'm good and ready.
"Bond with" is fine, but it may be more natural to use "bond to":
The two young friends were bonded to each other as if glued -- they went everywhere and did everything together.