I remember that Kansas City and Miami in recent years went 10-6 after a regular season and didn't make playoffs.

Is it possible to have an 11-5 record without playoffs?

Very unlikely, but mathematically it is possible. If other teams have a record equal or better 12-4, or have tiebreaker over another 11-5 team, it is possible for that other team to miss the playoffs. Say for example, Team A has an 11-5 record and the division winners are crowned, and Team B has a 12-4 and Team C has an 11-5 mark. Team B has already locked up one wild card spot due to the better record. Either Team A or C will miss out due to various tiebreakers such as head to head match ups, division records, strength of schedule etc..

Although It is very rare, and almost never happens, that a team can go 11-5 and NOT make the playoffs, but mathematically it's possible. A good example is the 2005 Steelers. Although they made the playoffs with an 11-5 record, they needed that record because Cincinatti had won the Division at 11-5 (they beat the Steelers both times) and Jacksonville had a wild card spot at 12-4 when Indianapolis went 14-2. So yea it almost never happens that a team misses the postseason with an 11-5 record, but again its mathematically possible.

If the other team gets like 12 or 13 there's a possibility that can happen.

yes.

if one team in ur division goes 12-4 and two teams from another division do to then your not a division champ or wild card winner

Possible, I'm sure. A Team could probably go 4-12 and win their division (putting them in the playoffs). Likely, no.

The 4-12 team just goes 4-2 in it's divisional games.

Yes, but not likely.
There would have to be a lot of really great teams, and alot of very poor teams, with not much in between.

In the NFC it is impossible becuase it is so weak.
In the AFC I don't think it has happened recently but I wouldn't be surprised if it happened this year.
Remember when the Jaguars went as a wild card with 12-4 record.
It could happen again this year (of course not with the Jaguars)

it depends how well the rest did. its ranked so the top whatever makes the playoff so if everyone else has a 12-4 record then they wouldn't make it.

If you have some extremely competitive divisions it is possible. Will not happen as most teams are trying to eek out a 500 seasons.

It is possible, but there would have to be 2 teams other than the division winners in the conference with 12-4 records which would get the wild card spots.
Or, three teams besides the division winners tied at 11-5 and one getting left out of the wild card by means of a tie-breaker situation.

yes but that would be super rare

It's possible to go 13-3 and miss the playoffs. That could happen if every team in a division split their division games, but won against everybody else. As there are only 2 Wild Card spots, only 3 teams from a division can make the playoffs from a single division.

A team could actually go 15-1 (or even 14-0-2) and end up a Wild Card. Those possibilities would occur if 2 teams in the same division beat everybody except each other and either split the games or tied both of them.

it would be pretty hard to but yea im pretty sure that its possible

I don't think so with an 11-5 record you should be in the playoffs and if not then what else can I say.