Hi Happy-Tina,
that’s a really beautiful hammock.
Maybe the macramé knotting technique would work for this?
Take a look
here in this thread — we have info on it. It’s not that hard to learn, and it should go faster than crocheting or knitting.
Arm knitting or arm crocheting might also be an option; you can use thicker yarn for that and finish faster.
Since you knit or crochet with your fingers or arms, you don’t need needles. The thicker yarn means it won’t take as long.
https://www.crazypatterns.net/de/forum/topic/346/armstricken-ganz-ohne-nadeln
and here are knitting needles in the right size, but arm knitting or arm crocheting works just fine without needles.
https://www.crazypatterns.net/de/forum/topic/5614/die-groessten-stricknadeln-der-welt
There are plenty of great videos on YouTube about arm knitting and arm crocheting. Once you buy the right yarn at a specialty store—or maybe online—you can start practicing. The right yarn for this isn’t exactly cheap, but you might find a good deal online. Since the hammock is meant to hold two people, it’s important to make sure you use good-quality yarn.