No, we no longer sell 2013 tax software. But you can the 2013 tax forms from the IRS website
If you previously purchased /had a subscription to get the CD/download, you may be able to find it in your Downloads page. Weirdly, this is NOT in your Account info on turbotax.com. It is on shop.turbotax.com. You should see a copy of every year of the software that you bought. You should be able to still download it because i still see mine on my Downloads list as of April 29 2018. But it may or may not be the final version and it will probably not be able to update.
You may do well to call Intuit/Turbotax if you think you did buy 2013 because you should at least be able to get the software you bought.
Explain what you mean by "download 2013 TurboTax."
If you mean you want to purchase and download the 2013 software, then, NO, you cannot. It is no longer available nor is it supported. If you still need to file a 2013 tax return you cannot get a tax refund for 2013 but you need to pay the IRS if you owe tax due. You can get the 2013 forms from the IRS site. https://www.irs.gov/forms-pubs/prior-year
If you mean you want to get a copy of a 2013 return that you prepared using TurboTax:
You can get a free transcript from the IRS:
How do I get a copy of a return I filed using online TurboTax?
How do I get a copy of a return I prepared using desktop TurboTax?
It is unclear what you are trying to do. This is not live chat. We need a complete question so we do not have to try and guess what you need.