Ben kahvaltıda tahin ve pekmez yemeden edemiyorum.

Yes. Ben is optional here because edemiyorum already tells you the subject is I.

• edemiyorum = I can’t / I’m unable
• So Ben kahvaltıda... and Kahvaltıda... can both work.

When ben is included, it often adds emphasis, like:

• As for me, I can’t help eating it
• I can’t resist it

So the sentence is perfectly natural with or without ben.

Kahvaltıda comes from:

• kahvaltı = breakfast
• -da = the locative ending, meaning in / at / during

So kahvaltıda means:

• at breakfast
• during breakfast
• sometimes naturally for breakfast, depending on context

In this sentence, English would usually say for breakfast or at breakfast.

This is because of two rules:

1. Vowel harmony
   The last vowel of kahvaltı is ı, a back vowel, so the suffix uses a rather than e:

   • -da, not -de

2. Consonant voicing
   The word ends in a vowel, so the suffix begins with d, not t:

   • kahvaltıda, not kahvaltıta

So the form kahvaltıda is exactly what Turkish spelling rules predict.

Because the object is being used in a general / indefinite sense.

In Turkish, a direct object often has:

• no accusative when it means some / any / a general amount
• accusative when it is specific or definite

So:

• tahin ve pekmez yemeden edemiyorum = I can’t help eating tahini and molasses
  (general, not a specific portion)

But if you were talking about a specific, known tahini and molasses, you might say:

• tahini ve pekmezi...

That would sound more like the tahini and molasses.

It is two foods joined by ve = and:

• tahin = tahini / sesame paste
• pekmez = a thick fruit molasses, often grape molasses

In Turkey, tahin ve pekmez is a very common breakfast combination, so learners often see the two together as a kind of set phrase.

This is a very common Turkish pattern:

• verb stem + -meden/-madan + edememek

It means:

• to be unable to refrain from doing
• to be unable not to do something
• more naturally in English: can’t help doing

So:

• yemeden edemiyorum = I can’t help eating
• literally, it is closer to I can’t manage not to eat

This is the key grammar point in the sentence.

On its own, -meden / -madan usually means without doing.

So:

• yemeden = without eating

But in the fixed expression -meden edememek, it creates the meaning:

• can’t help doing
• can’t refrain from doing

So even though yemeden literally means without eating, the full phrase yemeden edemiyorum should be understood as one grammatical unit.

In this pattern, etmek acts as part of an idiomatic construction.

The expression is:

• -meden edememek

Here, edememek comes from etmek in a negative ability form:

• edememek = to be unable to do

So the whole structure literally works something like:

• I am unable to do without eating

But natural English is:

• I can’t help eating

Also, notice the stem change:

• etmek → ediyor, edemiyor, edecek

This is normal for etmek in many forms.

Yes, but Turkish -iyor is not only for actions happening right this second.

It is also commonly used for:

• present states
• ongoing tendencies
• repeated behavior
• personal habits or strong tendencies

So edemiyorum here means something like:

• I just can’t help it
• I can’t resist it
• I always end up eating it

A simple present-style English meaning can still be expressed with Turkish -iyor.

You can, and it helps reveal the structure.

A fairly literal translation would be:

• I cannot do without eating tahini and molasses at breakfast.

That is not the most natural English, but it shows how the Turkish works.

A more natural translation is:

• I can’t help eating tahini and molasses for breakfast.
• I can’t resist eating tahini and molasses at breakfast.

So the literal translation is useful for learning, even if it is not the best final English version.

The neutral Turkish word order here is:

• Ben = subject
• kahvaltıda = time/context
• tahin ve pekmez = object
• yemeden edemiyorum = verb phrase

So the basic pattern is:

• Subject + time/place + object + verb

Turkish word order is flexible, though. You can move parts around for emphasis. For example, you could emphasize kahvaltıda or tahin ve pekmez by placing them differently.

But in neutral statements, the verb usually stays at the end, as it does here.

Absolutely:

• Kahvaltıda tahin ve pekmez yemeden edemiyorum.

This is very natural Turkish.

Adding ben gives extra emphasis, but leaving it out is probably the more ordinary choice unless the speaker wants contrast, such as:

• Ben kahvaltıda tahin ve pekmez yemeden edemiyorum, ama kardeşim hiç sevmez.
  I can’t help eating tahini and molasses at breakfast, but my sibling doesn’t like it at all.