Given that it dates from the 12th to 13th Century...yeah.
https://en.wikipedia.org/wiki/Shroud_of_Turin#Material_chemical_analysis
After years of discussion, the Holy See permitted radiocarbon dating on portions of a swatch taken from a corner of the shroud. Independent tests in 1988 at the University of Oxford, the University of Arizona, and the Swiss Federal Institute of Technology concluded with 95% confidence that the shroud material dated to 12601390 AD. This 13th to 14th century dating is much too recent for the shroud to have been associated with Jesus of Nazareth. The dating does on the other hand match the first appearance of the shroud in church history.
Mistyped. Make that 13th to 14th Century.
That piece of clothing was taken from a patch that was sewn on the Shroud in the 12fh or 13th century.
A botanist front San Antonio discovered pollen that came from a plant that only grows in the Middle East.
This will help you keep up:
FTA: The carbon dating controversy centers around tiny samples of the Shroud cut from an outer corner of the cloth. The area cut is from the most held and handled section thought to have been added during the Middle Ages as a repair or a re-weave. Then, in 2005, evidence for the repair was published in a peer-reviewed journal by chemist Ray Rogers, a STURP team member. Furthermore, a new Shroud dating analysis method originating at Padua University in Italy was published in 2013. That research dated the Shroud between 280 BC - AD 220, a 500-year timeframe that includes AD 33, the year traditionally associated with Christs crucifixion.