The answer is no, it does not necessary means that asparagine will appear in the synthesized protein.
This is because transcribed RNA (pre-RNA) must be processed into a messenger RNA (mRNA) before it enters the translation (protein synthesis). Processing of the RNA includes steps of adding a 5' cap and a 3' poly-A tail to the end. Also, some sections of the RNA transcript (introns) are cut, and the remaining sections (exons) are stuck back together, so the nucleotide sequence AAC might be cut.