No on the laptops. Or at least there isn't any that I would personally recommend. As most in this price range are more made for office/homework, watching videos listening to music and other light tasks. Not so much for gaming.
I'd rather see fellow Simmers be able to have a computer that will run Sims 4 well and have a good gaming experience. Instead of the headaches lower-end systems do have.
If this is your budget, I would go for maybe a desktop. But know that you'll want to upgrade the video card and possibly the power supply soon due to desktops in that range only comes with low grade video cards.
Depending on what video card you decide to buy you'll want to allow probably $200 more to cover a video card and power supply.
Thank you for asking!!