Is there a way to remove player turn time?

You could set the CFrame of the player's HumanoidRootPart on a key press. An example implementation could be the following. Note that this does not include diagonal angles, but it should be fairly easy to implement.

-- assuming this is a localscript inside the player's character
local RootPart = script.Parent.HumanoidRootPart
game:GetService("UserInputService").InputBegan:connect(function(Input, Event)
    if not game:GetService("UserInputService"):GetFocusedTextBox() then
        local Angles = CFrame.new(Vector3.new(), workspace.CurrentCamera.CFrame.lookVector * Vector3.new(1, 0, 1))
        if Input.KeyCode == Enum.KeyCode.W then
            RootPart.CFrame = CFrame.new(RootPart.CFrame.p) * Angles
        elseif Input.KeyCode == Enum.KeyCode.S then
            RootPart.CFrame = CFrame.new(RootPart.CFrame.p) * Angles * CFrame.Angles(0, math.pi, 0)
        elseif Input.KeyCode == Enum.KeyCode.A then
            RootPart.CFrame = CFrame.new(RootPart.CFrame.p) * Angles * CFrame.Angles(0, math.pi / 2, 0)
        elseif Input.KeyCode == Enum.KeyCode.D then
            RootPart.CFrame = CFrame.new(RootPart.CFrame.p) * Angles * CFrame.Angles(0, -math.pi / 2, 0)
        end
    end
end)