probably not with any degree of accuracy, though there's likely to be tests to determine when and where it was woven...
Maybe by the fraying although I'm sure it would depend on the fabric. I have a pair of ripped denim jeans and I see the fraying getting thicker and scraggier all the time so while it mightn't be carbon-dating, it may give a detective an idea of how long the victims clothes were torn if that's what you're getting at.
Science is your friend: http://www.astm.org/DIGITAL_LIBRARY/JOURNALS/FORENSIC/PAGES/JFS12903J.htm][/I] Damage to Clothing—Cuts and Tears Sorry access to the study isn't free, but you could use this foothold to do further searching on the Web. Info on this is not easy to find, but it is possible. I suggest trying different search strings and putting quotes around phrases in the string.