Do I have to file taxes when I made less than $4,000 at a place I was emplyeed?

No. If you were a regular employee and get a W-2 for the income you earned, and you had no other income, you do not have to file a tax return if you made less than $6300.

But the tax system isn't that simple. 

If there is an amount in box 2 of the W-2, you are allowed to file to get that back.

But if you "worked" for a company or person that doesn't issue W-2s, you do have to file as that income is considered self employment and you will have to pay social security & medicare tax

Your requirement to file depends on a variety of factors such as filing status, age, dependent status and income (earned and unearned).  The following link provides all of the information needed to decide if you are required to file.

https://ttlc.intuit.com/questions/1901490-do-i-need-to-file-a-federal-return-this-year

Tip:  Remember, even if you’re not required to file a tax return, it may be to your advantage to file anyway.  See this link to learn more.

https://ttlc.intuit.com/questions/2903201-if-i-don-t-need-to-file-a-return-should-i-go-ahead-and-file-one-anyway

its the same for non resident?

TurboTax doesn't support IRS Form 1040-NR.  

Please  see this TurboTax Help FAQ: Does TurboTax handle Form 1040-NR for nonresident aliens?

@north97