Can we ever find a fold here? It's pretty obvious what villain has

PokerStars No-Limit Hold'em, $0.05 BB (8 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

saw flow

SB ($5)
BB ($4.70)
UTG ($4.73)
UTG+1 ($2)
Hero (MP1) ($5)
MP2 ($14.67)
CO ($7.07)
Button ($17.57)

Preflop: Hero is MP1 with J, J
2 folds, Hero raises to $0.20, 2 folds, Button calls $0.20, 1 fold, BB calls $0.15

Flop: ($0.62) 7, 4, J (3 players)
BB checks, Hero bets $0.50, Button calls $0.50, BB calls $0.50

Turn: ($2.12) 2 (3 players)
BB checks, Hero bets $1.75, 1 fold, BB calls $1.75

River: ($5.62) 9 (2 players)
BB bets $2.25 (All-In), Hero ?????

Total pot: $10.12 | Rake: $0.45