Ooops! But you can do it with the right design and no less important the right needle. The design needs to match the stretch of the fabrics reasonably well, and also the attached pieces need to be shaped so that the loads are transmitted over a large area of the fabric and not all in a narrow line, or (worse) a point. They use a ball point needle to stitch a lot of man made fibre fabrics so that instead of piercing the fibres the needle pushes them to one side and takes the thread through the gaps between fibres. This is all part of the product development and it's (hopefully) part of what you're paying for if you buy something off the shelf instead of making it yourself.
I'm very aware of all of this. Nonetheless, a hole is a hole, and introducing a nylon thread (or any thread) in between fibers will weaken the fabric. If you look at a tarp you will often find stitch lengths of up to 4-6 mm, and that is for a reason. The same with items made for sustaining loads, upholstery, backpacks, saddles, sails, boat tarps, banners etc. It's mostly in apparel and household textiles you'll find the small stitches that a domestic machine can produce (well, surprise, it's called domestic for a reason..). Sure, you can make do with the old household singer for many projects that will be put under stress, but when put to the test, they may break. My modded tarp ripped it self from it's attachment points in a gale and I got caught between a rock and a hard place, sleep in rain and wind or start walking. No real danger or anything, just discomfort.
My domestic machine (an old 50's brothers zig zag which outpowers any modern machine) can do 2-3 mm stitches tops. However, I have a industrial walking foot machine on its way for stuff like this. Tired of adjusting the timing after sewing heavy canvas and leather, and tired of having fabrics get ripped because of too many stitches. There's a reason why most store bought items aren't sewn with a domestic machine ya know