Yes, absolutely it can, tho the likelihood is that the onset may have been earlier in life, as Kiwi mentioned, usually in childhood.
My husband didn't know what it was that he had until our son was diagnosed. Then it became clear that dh and his own father had TS as well.

The site linked in the above post has pretty much accurate info, though I would point out that where TS onset or severity might be triggered by infection (eg strep) that is usually an additional and separate diagnosis of PANS or PANDAS.

Here's another helpful site with info
What is Tourette Syndrome? - Here's what you need to know