Yes, you can. You can open an account with one of the online brokers (Interactive Brokers, ScotTrade, TradeKing, etc). The usual documentation while opening the account include the id proof (passport, Emirates ID), proof of address and foreign tax beneficial owner form (W8-BEN). Once the account is opened, you will have to send the signed W8-BEN form to the broker's US address.To fund the account, you will receiving wire instructions from the broker once the account is opened. Just go to any of the banks of money exchange counters and they will be able to wire the funds in your account. Once the account is funded, you're good to go!Most of the brokers have minimum fees and trading volume requirements, so do your diligence before opening the account. Choose one that suits your trading appetite and frequency.