"Can you create a system for player movement using inverse kinematics?"

-- Unfortunately, Roblox does not currently support inverse kinematics directly. However, you can create a system that mimics inverse kinematics using the available tools and services. Here's a simple example of how you might use the Motor6D object to create a sort of inverse kinematics system for a humanoid's arm:

local humanoid = game.Players.LocalPlayer.Character.Humanoid
local armMotor = humanoid:FindFirstChild("Right Shoulder")
local armPart = humanoid:FindFirstChild("Right Arm")

armMotor.MaxVelocity = 0.1

local function moveArmTo(position)
    local armLength = armPart.Size.Y/2
    local shoulderPosition = armMotor.Part0.Position
    local direction = (position - shoulderPosition).Unit
    local targetPosition = shoulderPosition + direction * armLength

armMotor.Transform = CFrame.new(targetPosition)
end

game:GetService("RunService").Heartbeat:Connect(function()
    local mouse = game.Players.LocalPlayer:GetMouse()
    moveArmTo(mouse.Hit.p)
end)

-- Please note that this is a very simplified example and may not work perfectly. A more complex system would likely be needed for a full inverse kinematics implementation.