Blackpool's Ian Evatt atoned for an earlier error with a goal that earned an FA Cup fourth-round replay with Norwich, who had Chris Brown sent off.
The visitors went ahead just before the break when Evatt fluffed his clearance and Huckerby seized possession before firing in from the edge of the area.
But six minutes into the second half, David Fox floated in a free-kick and Evatt headed in.
Brown was sent off for deliberate handball with 10 minutes left.
It was an even contest throughout and an open and attractive game from the first whistle.
Andy Morrell headed wide after three minutes before Norwich's debutant goalkeeper David Marshall denied Scott Vernon
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As the game swung from end to end, Rhys Evans pushed Carl Robinson's firm strike away from goal before Youssef Safri drove narrowly wide from 30 yards in the 27th minute.
And, just past the half hour, Gary Doherty thumped a header past the near post from Safri's corner.
Norwich skipper Adam Drury also fired wide from 25 yards before Vernon lifted a shot over the bar from Shaun Barker's cross.
Then from another Norwich counter-attack Huckerby opened the scoring after Evatt's mistake.
Then shortly after the break, Evatt made up for his error by heading the equaliser.
And Blackpool pushed for a winner, with substitute Ben Burgess going close with a close-range effort.
Brown was then dismissed for deliberate handball before, Marshall pushed a Kaspars Gorkss header over deep in stoppage-time.
Blackpool manager Simon Grayson:
"Ian Evatt made a mistake and he was dejected but we told him it was one of the only mistakes he's made in six months here.
"He's been due a goal and he keeps saying he's dangerous from set-pieces but he made his mark and responded in the right way."
"It's testing for the club in general but the players tested themselves against Championship players, who have played in the Premiership.
"None of our players can have any disappointment with the way they performed. They were excellent and were a credit to the club."
Norwich City manager Peter Grant:
"I think it was a fair result. Once we had got in front I thought we would have carried on but we had a bit of rearranging to do.
"We should have had a penalty but the referee decided to book the captain and he ends up with a suspension.
"Chris Brown had to go for the second one but before that he was being battered, the defenders were coming through him and he got booked.
"It's different for forward players but Adam's a defender and going into the box like that, there's only one way they will go down.
"We showed great spirit considering the number of bodies we had to change and the number of systems we had to use.
"David Marshall made some great saves and he's a good goalkeeper. That's why I've been chasing him for about three months.
"I'm pleased to get him and he did exceptionally well."
Blackpool: Evans, Barker, Jackson, Evatt, Gorkss, Forbes (Burgess 68), Southern, Fox (Jorgensen 90), Hoolahan, Morrell, Vernon (Parker 67).
Subs Not Used: Bean, Tierney.
Booked: Hoolahan, Southern, Jackson.
Goals: Evatt 52.
Norwich: Marshall, Colin, Dublin (McVeigh 58), Doherty, Drury, Safri, Etuhu, Robinson, Croft (Thorne 86), Brown, Huckerby. Subs Not Used: Gallacher, Eagle, Martin.
Sent Off: Brown (82).
Booked: Colin, Brown, Huckerby.
Goals: Huckerby 45.
Ref: C Foy (Merseyside).