Momentum of an object is its own property but it can be
transferred by that object to
any other object during their collision ( elastic or inelastic )
so as to conserve the total momentum of the system as demonstrated
by the law of conservation of momentum.
One of the examples of the transferring of momentum is the
transfer of momentum and incident energy from photons of x rays to
the loosely bound electrons in graphite target in Compton
effect.