It would launch, it just would thrash the much slower RAM when swapping textures in and out of VRAM causing massive stutters when loading new textures, but thinking about it maybe 1 FPS might be closer to low RAM HDD thrashing, haven't had that issue in 20 years though so i doubt that's it.
The main reason i don't think it's as simple as tweaking the other settings is that a 1050ti should do better than that even at max settings, granted it would probably be unplayable.
The 1050 ti is well within the game's specified requirements, and the game's texture streamer can and will dump out super low resolution alternatives if VRAM is insufficient. (There are plenty of screenshots and complaints about that in the discord)
However, the game also has multiple high-end shaders that can overwhelm a mid to low end GPU, as well as procedural effects that involve passing data back and forth between the graphics card and CPU. Honestly, the very first step he should have taken was to set every setting aside from screen resolution to minimum, and then raised them up to better levels, one by one. He's told us some information about his hardware, but nothing about the game's current graphics settings.
If he has it on max settings and is running on, say, a x8 PCI channel rather than x16, or using an older HDD rather than an SSD, it would explain a lot. We don't know the speed of his RAM either, just the size of it. He's running an i5 from 2015 and a GPU from 2016, so having a midrange gaming rig that cheaped out on the less obvious parts isn't out of the question.
Edit: I just noticed his CPU is theoretically below requirements. The official minimum for carnal instinct on the CPU front is "Intel Core i5-2500K @ 3.3 GHz or better" and while that's a CPU from 2011, it's got a notably higher clock rate than the i5-6402P has. Depending on how the game handles threading clock rate could be far more important than core count. Even the maximum one/two core turbo frequency for that processor is just barely above minimum recommendations, at 3.4GHz.
If most of the rest of the rig is of a similar age and price bracket for the ~2016 market, I would 100% recommend flipping the game to minimum settings and working from there.