The stalemate means that none of the first legs in this season's EFL play-offs have been won by the home side - the first time this has happened since 2014-15.
Charlton had ended the season in fantastic form, with 16 wins from their final 22 league matches, including a 4-0 win at Adams Park just last month, to help them finish one point and one position above their fifth-placed hosts.
However, in a game where both teams lacked quality in the final third, it took them until almost the 70th minute for Godden to have their first shot on target.
That was straight at Norris in the Wycombe goal but the keeper was worked more by the striker's second attempt in the last few minutes and he then showed good reflexes to keep out Docherty's instinctive effort from the resultant corner.
Wycombe, who are looking to reach a third League One play-off final in five years, had lost their final three league games all to teams who are also in the play-offs and offered little in a match punctuated by fouls.
They were perhaps a touch fortunate not to be reduced to 10 men before the break when striker Richard Kone was only booked for a poor challenge on Kayne Ramsay.
Mike Dodds' men have now failed to score in five of their past nine matches but only runaway league winners Birmingham picked up more points away from home than the Buckinghamshire side in the regular season and nobody scored more goals.