Gareth Bale put Tottenham in front in the ninth minute, capitalising on some ponderous play by Maynor Figueroa and Joel Robles, but Wigan were level in the 11th thanks to Emmerson Boyce's header.
Callum McManaman's excellent piledriver then put them 2-1 up four minutes after the break but Boyce was unlucky to find the net again with an own goal in the closing stages.
Tottenham remain fifth with four matches to go, level on points with fourth-placed Chelsea and a point behind third-placed Arsenal.
Sunday's fixtures see Chelsea play Swansea at home and Arsenal host champions Manchester United.
Asked whether he regarded the result as two points dropped or a point gained in the pursuit of Champions League football, Villas-Boas said: "It depends on the results of our opponents [on Sunday]. It is intimately related to that.
"We can still be in control of our own destiny or not after [Sunday's] results.
"Normally away from home a point is important at this stage of the season. When everybody needs three points, I think it is a difficult situation for teams.
"It all depends on what happens [on Sunday]."