KK in tough spot

[Mark1808]

I obeserved the following hand in a $5 $10 live full ring.

UTG makes it $30
3 callers to KK in BB who makes it $200 with $1,000 behind
UTG thinks for awhile and calls with $1,000 behind
Loose player calls with $500 behind
2nd loose player in SB calls with $500 behind

Flop is 3-5-6 rainbow

SB is all in for $500
KK in BB has $1,000 and 2 other players left to act, one has him covered.

Do you go broke with this hand?