Yes, you can. Since you entered the US in 2016, you are considered as a resident for tax purposes by meeting the Substantial Presence Test and will file a Form 1040 for your 2017 taxes. As your spouse is considered as a nonresident in 2017, you can file an election to claim her as a resident and file Jointly. Please see Nonresident to resident
As your spouse does not have a SSN or ITIN, you would need to apply one for her. Please see ITIN
Per IRS, you cannot e-file a tax return which does not include a SSN or ITIN. You are advised to use the TurboTax program to prepare your tax return and required forms. Print and attach them to the Form W-7 with the required documentation ( see the above blue link ) and submit everything to the IRS by mail.
Please do the followings in TurboTax program,
-As you enter the information, leave the spouse's SSN space blank
-After entering all your information, print out returns and required forms ( write APPLIED in the SSN space)
