My reading of the rules is that you will owe an underpayment penalty (unless you can adjust your withholding in your W-2 job so that withholding reaches 90% of this year's tax liability by the end of the year).
Here are the 2019 draft form and instructions for Form 2210, the form for underpayment penalty. How it works is that you calculate 90% of your 2019 tax on line 5, and then you put 100% or 110% of your 2018 tax on line 8. Whichever is smaller of those goes on line 9, and if that is less than line 6 (your 2019 tax withholding from your W-2 job), you don't need to make estimated tax payments. However, if you look at the instructions for line 8, it says if you didn't file a return for 2018 (and I am assuming you didn't), you don't complete line 8, and enter the amount from line 5 (90% of 2019 tax) on line 9.
There is an exception to the penalty for people who didn't have tax the previous year,
You had no tax liability for 2018, you were a U.S. citizen or resident
alien for the entire year (or an estate of a domestic decedent or a
domestic trust), and your 2018 tax return was (or would have been had
you been required to file) for a full 12 months.
Both the relevant section of the form instructions above, and the relevant section of Publication 505, say that you have to be a resident for the whole year, but do not clarify which year that is (the tax year you are filing for, 2019, or the previous year, 2018). However, the corresponding section of law, 26 USC 6654(e)(2), clearly specifies that you have to be a resident throughout the "preceding tax year" (2018), which you are not. So you can't use this exception either.
If you have to make estimated payments, you have to make an adequate amount in each quarter. Payments for each quarter are due April 15, June 15, September 15, and January 15. You cannot just wait until January 15 to pay the estimated taxes for the whole year. If you got income unevenly through the year, it is possible to calculate estimated tax payments for each quarter based on the income up to that quarter, but unless almost all of your income was in the 4th quarter, you would still have already paid too little estimated taxes for the first 3 quarters whose due dates are past, and would still have interest plus a penalty for that.