No. As noun and its adjective are in reverse order (compared to English), any further adjectives added to the phrase would still follow that reverse order.
That is: Amazing girl (in English) = Girl amazing (in Arabic). So: Amazing American girl (En) = Girl American amazing (Ar). To relate better, think of the latter phrase as "a girl who is American and who is amazing."
In general, it's an "adjective order" subject. I don't claim my answer covers the whole subject, but it holds with the phrase in question where the adjectives come back to back with nothing extra such as an "and" in between.