Possibly, but I do not think that there is any evidence of clothing before then. I will have to check.
Okay, I was wrong. I should have looked first. There are no archaeological records of clothing going back to when clothing likely first appeared, but that was not expected. Clothing would be the same as "soft tissue" and likely to break down. In fact there are is no archaeological evidence at all that shows that I am wrong. But there is genetic evdence.
UF study of lice DNA shows humans first wore clothes 170,000 years ago - News - University of Florida.
Our body lice tells the tale of when we first started to wear clothing:
Principal investigator
David Reed, associate curator of mammals at the
Florida Museum of Natural History on the UF campus, studies lice in modern humans to better understand human evolution and migration patterns. His latest five-year study used DNA sequencing to calculate when clothing lice first began to diverge genetically from human head lice.
The study also shows humans started wearing clothes well after they lost body hair, which genetic skin-coloration research pinpoints at about 1 million years ago, meaning humans spent a considerable amount of time without body hair and without clothing, Reed said.
But it still may have been weather that prompted the development of clothing:
“The new result from this lice study is an unexpectedly early date for clothing, much older than the earliest solid archaeological evidence, but it makes sense,” said Ian Gilligan, lecturer in the School of Archaeology and Anthropology at
The Australian National University. “It means modern humans probably started wearing clothes on a regular basis to keep warm when they were first exposed to Ice Age conditions.”
The last Ice Age occurred about 120,000 years ago, but the study’s date suggests humans started wearing clothes in the preceding Ice Age 180,000 years ago, according to temperature estimates from ice core studies, Gilligan said. Modern humans first appeared about 200,000 years ago.
So I was definitely not right about when we started to we stared to wear clothes (in other words I was wrong) but it does appear to have been weather related.