Can my wife (F1-OPT) and I (F1) file the tax separately this time even though both of us arrived in USA in 2013?

[Leonard]

Yes, you can file separately.  Whether or not you file jointly or separately is your choice but generally, if you are married it is more advantageous to file jointly. The following TurboTax article was written to help couples decide the best way to file.  

https://turbotax.intuit.com/tax-tips/marriage/should-you-and-your-spouse-file-taxes-jointly-or-separ...