gravity

the time it takes an object of any mass to fall
on a graph where the time is on the y axis(s²) and height (from ground) in m is on the other will the line pass through 0on both axis at the same time, if so how ca you drop an object from 0.0m

yes

Have the top of a table be 0.0m, then push the object off the table.

Have the top of a table be 0.0m, then push the object off the table.

You would simply have a point at (0,0).