Is it possible to move and rotate the model at the same time?

To rotate and move a model you have some options here, but there are two main ones. You could either Weld everything to the PrimaryPart and use TweenService on the PrimaryPart or you could use SetPrimaryPartCFrame with Lerping and TweenService:GetValue().

OPTION 1:

TweenService:Create(Model.PrimaryPart, TweenInfo.new(1), {CFrame = CFrame.new(0,1, 0) * CFrame.Angles(0, math.pi, 0)}):Play()

OPTION 2:

local Origin, End = Model:GetPrimaryPartCFrame(), CFrame.new(0,1, 0) * CFrame.Angles(0, math.pi, 0)
local Alpha = 0
RunService.RenderStepped:Connect(function(Delta)
    Alpha = Alpha + Delta

    Model:SetPrimaryPartCFrame(Origin:Lerp(End, TweenService:GetValue(Alpha, Enum.EasingStyle.Sine, Enum.EasingDirection.Out)))
end)

ANSWER: You can add more attributes to be changed in a Tween.

Example:

local TweenService = game:GetService("TweenService")

local part = Instance.new("Part")
part.Position = Vector3.new(0, 10, 0)
part.Anchored = true
part.Parent = game.Workspace

local goal = {} -- Here is where you can add all of your attributes
goal.Position = Vector3.new(20, 10, 0) -- Attribute 1
goal.Orientation = Vector3.new(90,0,0) -- Attribute 2

local tweenInfo = TweenInfo.new(7)

local tween = TweenService:Create(part, tweenInfo, goal)

tween:Play()

Note: As well you can just use a new CFrame in the goal object rather than picking a new position and orientation.