Yes, you can combine your self-employment income with your income from an employer to calculate the foreign-earned income exclusion (FEIE).
You're correct that Form 2555 only allows you to enter one employer (and you can only file one form per taxpayer). I recommend that you enter the information of your primary employer for the form.
In TurboTax, you must manually add your net profit from self-employment to your foreign wages to calculate that exclusion properly.
Ordinarily, you would be able to exclude the income from tax under the FEIE, but would owe self-employment tax. Since you live in a country that has a Totalization Agreement with the US, however, you are able to remove this tax with proof that you're participating in the national pension plan.
To remove the self-employment tax, you will need to file your return by mail and attach to your return a "certificate of coverage" obtained from your resident country's social insurance program office. This tax will also need to be manually removed in TurboTax.
Using a desktop/download version of TurboTax will be easier than using an online version to make manual adjustments. Any desktop/download program version will have the forms you need for this.
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