Yes you can file an extension if you would prefer. But, if you are filing your extension due to your filing status, you will still file either Married Filing Jointly or Married Filing Separately for 2016, because your marital status for your tax return is what is was as of December 31st, 2016 according to IRS rules.
If you want to file for an extension using TurboTax Online, follow the steps in the article below:
To file a state extension, follow the state steps in the article below: