In addition to the comments by @pk , let me point out that,
If you are not a US resident or green card holder,
and your only income is from passive investments,
then your income may not be considered US-sourced and you may not be required to file any US tax return.
Quick overview:
If you are a US citizen or green card holder, or you are a "resident alien" per the substantial presence test, you are required to report all your world-wide income and pay US tax, using form 1040, no matter where in the world you are living.
However, if you are not a citizen, not a green card holder, and not a resident alien, then you are only required to file a US tax return and pay US tax on income that is "sourced" to the US, or "effectively connected" to the US. This income would be reported on a 1040-NR, which as noted, Turbotax does not include. You would have to check with a provider that does offer the 1040-NR to see if they allow electronic filing.
Also, special rules apply if you enter the US or leave the US in the middle of the year. I will leave that to @pk to cover.
Which income is considered "US source" is complicated, you can start on this web page.
https://www.irs.gov/individuals/international-taxpayers/nonresident-aliens-sourcing-of-income
However, the term "US bank investment" is not enough by itself to determine if you need to pay US tax.
