Not likely. It must have been a sensitive test.
The good news is that new cases are cured easier.
From Wikipedia:
The hepatitis C virus is usually detectable in the blood by PCR within one to three weeks after infection, and antibodies to the virus are generally detectable within three to 15 weeks. Spontaneous viral clearance rates are highly variable; between 10 and 60% of persons infected with HCV clear the virus from their bodies during the acute phase, as shown by normalization of the liver enzymes alanine transaminase (ALT) and aspartate transaminase (AST), and plasma HCV-RNA clearance (this is known as spontaneous viral clearance). However, persistent infections are common and most patients develop chronic hepatitis C, i.e., infection lasting more than 6 months.
Previous practice was to not treat acute infections to see if the person would spontaneously clear; recent studies have shown that treatment during the acute phase of genotype 1 infections has a greater than 90% success rate, with half the treatment time required for chronic infections.