Is it possible for Mtgox, or some other exchange to manipulate BTC price, by introducing fake buy / sell orders?
Possible? Sure. There's no information disclosed as to which account has placed an order so it is entirely within the realm of possibilities for an exchange to be engaged in attempts to manipulate the price without any of us having a clue it is not a legit customer order. What neutralizes that is that there are competing exchanges. Price is determined by systemic supply and demand, so if an exchange has sell orders priced below another, arbitrage occurs and those cheaper coins will be bought and moved to markets where they are valued at a greater level. The same thing happens at exchanges where buy orders are higher -- coins will get transferred there and sold, and the markets will generally equilibrate.
Now not all exchanges offer the same fees, set of features, and conveniences so there could consistently be differences in price. For instance, lately bids at BitMe are above those at Mt. Gox, presumably because USD funds can be transferred to BitMe using a cash deposit method at a Chase bank branch. There is greater demand for coins at that particular exchange than supply from those providing arbitrage, likely due to increased volumes occurring resulting from this recent rally.
Exchanges know information such as the the time and amount of customer deposits so at best it would be unethical for them to trade against their customers based on that information. In most jurisdictions this would also be illegal.
Exchanges make their money from exchange trading fees and those fees increase from larger volumes that come from operating an efficient market. Thus it is against their long term ambitions to be manipulating price for a short-term gain.
Also, if price manipulation with fake orders was occurring we would hear more reports of orders placed not getting executed at the expected price.''
Either way, we aren't forced to buy or sell, so simply if the price on one exchange doesn't suit you simply don't trade there.