Can i use turbotax premier if i have self employment income/deductions?

Nope ...   you will need   the Self Employed version  if you use online TurboTax  or you can use ANY  version of desktop software that you download/install from a CD...  Basic if you don't need a state return and Deluxe or better if you do.  

Now if you wait until the IRS FREE FILE opens in mid to late January and your income is below the max AGI  allowed of $73K  then you can file for free ...    https://www.irs.gov/filing/free-file-do-your-federal-taxes-for-free

ONLINE 

https://turbotax.intuit.com/personal-taxes/online/

CD/DOWNLOAD (This requires a full PC or Mac—-cannot be used on a mobile device)

https://turbotax.intuit.com/personal-taxes/cd-download/

You can also purchase the CD/download from various retailers such as Costco, Amazon, Walmart, Best Buy, Staples, Sam’s Club, etc. etc. etc.

This link Where can I obtain authentic TurboTax software? has a list of authorized TurboTax resellers.

When you use desktop software, there is an additional fee to e-file a state return.  You can avoid that fee if you print, sign and mail the state return.  The state e-file fee is $19.99 and increases in March.

https://ttlc.intuit.com/community/system-requirements/help/minimum-system-requirements-for-turbotax-...

Simple answer is no. You need use either Turbo Tax Self-Employed or Turbo Tax Home and Business.

You can enter Self Employment Income into Online Deluxe or Premier but if you have any expenses you will have to upgrade to the Self Employed version.  Or use any of the Desktop CD/Download programs. We can tell you how to switch to the Desktop program.

How to enter income from Self Employment

https://ttlc.intuit.com/community/self-employed/help/how-do-i-report-income-from-self-employment/00/26653

How to enter self employment expenses

https://ttlc.intuit.com/community/entering-importing/help/where-do-i-enter-my-self-employment-business-expenses-like-home-office-vehicle-mileage-and-supplies/00/27109

Ok, so I am self-employed and have no expenses, also have pension and IRA distributions to report. Will be filing jointly as my wife still works full time.  So, I can just use a desktop version or even the online premier version?