Projector → Laptop → PS4?

I have a small problem and although I and my friends wanted to watch a few movies on a projector, but only has VGA port. The films are Blu-Ray, so we need a PS4 to play it, but the PS4 has no VGA connection. Now my question is: Can I connect the PS4 with my laptop via HDMI and then connect my laptop with the projector via VGA, so we can watch the movies via a projector?

No. That is not possible that way. Buy nen adapter from vga to dvi and from dvi to hdmi