No, PrEP does not cause redistribution of body fat and is not associated with lipodystrophy.
At one time, the Truvada label included a warning about these side effects*. It is now known that Truvada is not associated with these side effects. As of April 2017, the warning has been removed from the FDA-approved label in the United States. The warning has also been removed from the EMA-approved label in Europe.
* Originally, this warning was included for Truvada as a "class warning." Some other drugs in the same class as Truvada (nucleoside reverse transcriptase inhibitors, or NRTIs) were known to cause these side effects, specifically Zerit (stavudine) and Retrovir (zidovudine).