Ambiguity in sentences with a noun qualified by an adjective with が particle

Question

I was wondering if there is any ambiguity with sentences that have adjectives qualifying a noun, especially regarding the が particle.

1. 僕が好きな人

Can this sentences have an ambiguous double meaning of "The person that I like" and "The person that likes me"?

2. 僕が食べたい魚

Can this mean either "fish I want to eat" or "fish that wants to eat me"?

to make the meaning of this sentence clearer would

3. 僕を食べたい魚-

ONLY mean "fish that want to eat me" as the only interpretation?

Is there a go-to interpretation for qualifications like this or does one have to identify exclusively via context unless there are further details provided?

For example, more detailed, clear-cut sentences

4. 僕が好きなところ

This sentence would ONLY mean "The place that I like/My Favorite place"

5.　野菜を食べるのが好きな人

In this sentence the only interpretation could be "People that like eating vegetables"

Answer 1

1.) [僕]{ぼく}が[好]{す}きな[人]{ひと}

Can this sentences have an ambiguous double meaning of "The person that I like" and "The person that likes me"?

First, that is not a sentence; It is only a noun phrase (or a relative clause). "The person that I like." is not a sentence in English, either.

The answer is affirmative. It can mean both, but to mean "The person that likes me.", it is more natural to say 「僕のことが好きな人」.

2.) 僕が[食]{た}べたい[魚]{さかな}

Can this mean either "fish I want to eat" or "fish that wants to eat me"?

Strictly speaking, no. It can only mean "the fish that I want to eat".

In Japanese, we DO NOT say 「～～たい」 to talk about a third party's desire (in this case, the fish). We say 「食べたがっている」.　This is a common mistake among J-learners.

「僕（のこと）を食べたがっている魚」 = "The fish that wants to eat me"

See here for details: Aren't がる and たがる the same thing?

to make the meaning of this sentence clearer would

3.)僕を食べたい魚-

ONLY mean "fish that want to eat me" as the only interpretation?

It is missing 「たがる」 as I mentioned above. You need to use it to talk about the fish' desire.

Is there a go to interpretation for qualifications like this or does one have to identify exclusively via context unless there are further details provided?

Depends on the phrase. As I stated, 「僕が食べたい魚」 can only mean "the fish I want to eat" with or without further context, but the phrase would be ambiguous if one did not know about たい vs. たがる.

Context is important as Japanese is a most contextual language, but your own knowledge of the grammar and such is equally important.