@Eliza13x Don't worry about the late reply. HP's entry-level options have come down in price a bit, but it doesn't make any touchscreen models with medium-strength graphics cards, so the better models in your price range come from other companies.
I looked again for touchscreen options, and there aren't many around $800 that have a strong graphics card. I did find a few though. Lenovo's Yoga 730 series has a few models with an Nvidia 1050, which would handle all Sims 4 packs on ultra graphics settings now, although barely. This is the page for all configurations; scroll to the right to look at the model priced at $883 (once the savings have been factored in).
https://www.lenovo.com/us/en/laptops/yoga/700-series/Yoga-730-15/p/88YG7000965
The $1300 version is better, but not $500 better. Its main feature is its 4K screen, which I'm sure is lovely, but you wouldn't be able to run Sims 4 in with a 4K resolution at anything resembling decent framerates. You could always turn down the resolution, of course. The other advantages are a much larger solid state drive (1 TB vs. 256 GB) and extra RAM. The models with an Intel 620 don't compare in gaming performance.
Another decent option is this $800 Acer Spin, also with an Nvidia 1050. It has a larger hard drive, but it's a slow mechanical drive instead of an SSD. Its processor is also slower than the above models.
https://www.bhphotovideo.com/c/product/1432506-REG/acer_nh_gtqaa_003_spin_5_sp515_51gn_52b3_i5_8250u.html
Other than these options, the only laptops even close in price range come with much weaker GPUs, either integrated graphics or entry-level dedicated cards like an Nvidia MX150 or MX250. These cards' benchmarks, gaming and otherwise, don't compare to even a 1050, much less stronger cards. These cards wouldn't run the game on high or ultra settings unless you skipped the most demanding expansion packs (e.g. Seasons, Island Living). But if you'd like to see some options with these cards, I can find plenty.
Proper gaming laptops that have touchscreens are pretty rare, and definitely more expensive. I didn't see any for less than $1,400, mostly with the same Nvidia 1050, or a 1050 ti. There are also options with hardware that's stronger than Sims 4 will ever need, and priced accordingly. This $1,600 Razor is somehow the cheapest example.
https://www.bestbuy.com/site/razer-blade-15-6-touch-screen-gaming-laptop-intel-core-i7-16gb-memory-nvidia-geforce-gtx-1660-ti-1tb-hdd-128gb-ssd-black/6377160.p?skuId=6377160
If you have any questions, or would like other options, feel free to ask. Just let me know what you're looking for.