Yes and no. It's actually really complicated. For instance, you can be taxed on earnings against foreign-owned assets, such as stocks, bonds, ETFs, futures, commodities, and ownership in investment real property, which is not excluded from taxation in FEIE. FEIE only affects income tax, not capital gains tax or other forms of taxation. It also does not exempt you from FICA (Medicare, Social Security, et al).
So you're working for a US tech company that issued you RSUs and options in the US market, and you also bought an apartment in your foreign country of residence, and you also happened to buy some ETFs once on the London Stock Exchange. Good luck with filing without an accountant or being audited :)
Also, have fun ever selling foreign property. Being subject to expatriated taxes means you are automatically ineligible for real estate capital gains exemption. Decide to move to a better apartment and sell your old one in a foreign country? Welp, now you owe capital gains on the sale with no exemptions allowed, even though the transaction had nothing to do with the US in any way. [2]
In addition, if you earned over the FEIE limitation, you'd be fully taxed in that bracket by the US AND by your resident country. Some EU member nations have special taxation rules especially for US expats (Germany for instance) thanks to a cozy relationship and a huge number of US foreign nationals living there (civilian employees of the US military, for instance). In general though, you'd be strictly double-taxed on income. You also get no credit against paying VAT, which is a significant tax in the EU.
Trust me, I am speaking from experience here, there is nothing at all simple about paying US taxes while living abroad or even filing an accurate return. You're also at higher audit risk. You basically /have/ to hire an expensive accountant (or be lucky enough that the US government supplies/augments one if you're a government employee).
Also if you own real property in the United States, you are automatically excluded from being eligible for FEIE. I owned my home in the US while I was abroad, which meant I was never entitled to FEIE unless I transferred the property into ownership of a trust (like a REIT) or sold it. If I moved it into a trust, I'd have to pay taxes off any gains made and those would not be excluded and do not have to be fully realized to be taxable in some scenarios.
Taxes are really really really complicated in general, and US taxes are bonkers stupid complicated. And then there's FATCA, so good luck even trying to get away not filing a return or dealing with this situation [1].
Basically, the short answer is if you are a US citizen and you move abroad, be ready to get shafted hard by the IRS and also pay extensively for the privilege of telling them how hard to shaft you.
[1]: https://www.usexpattaxhelp.com/us-american-expats-what-%20is...
[2]: https://www.nerdwallet.com/blog/taxes/selling-home-capital-g...
P.S.: Sorry about all the edits in a short amount of time. I kept finding more things I thought needed to be said. I'll leave this response alone now.