Not easily would be the simple answer.
Your laptop supports hdmi output, so you are OK there.
Your amplifier on the other hand is pretty limited.
It only seems to have RCA inputs, so I guess these must expect PCM to support surround sound.
To get from hdmi to there though is going to require an active device.
I can find links for these that can output to optical or coaxial outputs to support old amplifiers, but your amp doesn't support these either.
I think to get this working you will be looking for a better amplifier with hdmi pass through (AV receiver). Yamaha have some good low end models. Have a look at the RX-V375.