Casting a touch spell through a familiar .5.5e

So though your telepathy you can have your familiar "deliver" your cast spell by using a bonus action.

Can that touch spell be False life on the familiar?

False life has a range of self, not touch. So, no, you couldn’t cast it through a familiar.

Quote from Winvarwen >>

So though your telepathy you can have your familiar "deliver" your cast spell by using a bonus action.

Can that touch spell be False life on the familiar?

You can only cast spells that have a range of "Touch". False Life does not have a range of "Touch", so it's not eligible.