Just wondering is there any opportunity to fold after villian's push on flop?

Hand converted with online PokerStrategy.com hand converter:
$0.02/$0.05 No-Limit Hold'em (7 handed)
Known players:
[tg]BU (Hero)$3.43:///////;SB$4.03:///////;BB$3.57:///////;MP1$2.67:///////;MP2$4.88:///////;MP3$5.00:///////;CO$4.97:///////;[/tg]
Preflop: Hero is BU with J:h, J:c.
4 folds, Hero raises to $0.15, SB calls $0.13, BB calls $0.10.
Flop: ($0.45) 9:c, J:d, K:h (3 players)
SB bets $0.20, BB calls $0.20, Hero raises to $0.80, SB calls $0.60, BB raises to $3.42, Hero calls $2.48, SB folds.