Actually not, because accredited investors must have cleared $200k for the two previous calendar years and most people who co-invest under the knowledgeable employees exemption are PE associates who have been on the job for less than two years.
Source? (Private equity associates are entry-level number crunchers. Their fraction of carry is a rounding error, if positive.)
Private equity associates very rarely receive carry, which is why they co-invest instead.
*edited for clarity
The vast majority of partner co-investment vehicles I've come across contain partners' capital. A rounding error may be from associates, who are usually counted against the limited number of unaccredited investors such funds can, with great legal liability, be marketed to.
These people almost always earn more than $200,000 a year and so qualify as "accredited investors" under the SEC's definition. Keep in mind, too, that start-ups can compensate their unaccredited employees with equity just the same.
Disclaimer: I am not a lawyer. This is not legal nor securities advice.