No. We have $72 million tied up with just 4 players (Hayward, Horford, Tatum, and Brown), so even if we traded everyone but those guys we wouldn't have enough room (due to cap holds on empty roster spots, picks, etc.).
The only way we could get a max FA this summer would be if we sign and traded for them using Hayward, Horford, or maybe IT (but that might not actually be possible depending on where the apron ends up next year, since S&Ts hard cap you at the apron)