Do all Chiral molecules have point chirality?

Answer 1

No.

Molecules can be chiral without any chiral/asymmetric carbons. Remember that all that is required for a molecule to be chiral is for it to have a non-superimposable mirror image. *Usually* this non-superimposability arises from asymmetric carbons; but that is not the rule.

Answer 2

In short, no. There are chiral molecules (inherent chirality) that do not have stereogenic atoms.