Yes
You can use the following two commands in command blocks to cause all creepers and TNT blocks to explode immediately:
/entitydata @e[type=PrimedTnt] {Fuse:0}
/entitydata @e[type=Creeper] {Fuse:1}
Note that the value of the Fuse tag is set to 1 for the Creeper. This is because if it is set to 0, then the Creeper will explode immediately whether or not a player is near. This is due to Minecraft reading the Fuse tag as how long is left until the explosion, i.e. 0 - 0 ticks left, let's go boom already!
The Fuse tag is measured in Ticks, 20 ticks = 1 second, 30 ticks = 1.5 seconds, etc. The default values are as follows: 80 ticks (4 seconds) for the TNT, and 30 ticks (1.5 seconds) for the Creeper.
You can use the above commands as is in always active repeating command blocks, or a command block on a clock to have all TNT explode immediately upon ignition, and all Creepers explode immediately upon a Player entering it's attack range. You can also modify the commands to only affect TNT and Creepers in a certain area, under certain conditions, or lengthen the fuse to not be immediate. With Minecraft the possibilities are endless.
Sources:
Testing in Minecraft
http://minecraft.gamepedia.com/TNT
http://minecraft.gamepedia.com/Creeper
This answer will show you how to summon the TNT when you kill another player.
Begin by creating the objective playerkill
to detect when a player kills another player:
/scoreboard objectives add playerkill playerKillCount
Next, create a repeat command block (set to 'always active') and a chain command block, containing these commands:
/execute @a[score_playerkill_min=1] ~ ~-1 ~ summon PrimedTnt ~ ~ ~ {Fuse:0}
/scoreboard players set @a[score_playerkill_min=1] playerkill 0
These will check every tick whether or not a player has killed another player, and summons a primed TNT below their feet if they have. Then it resets the player killer's score to zero, so the player isn't constantly killed.
Demonstration: (note I have manually set my score to 1, since I do not have another player to murder test with)
Best Answer
You can test for any primed TNT in your world, and if it succeeds, set a redstone block to a nearby location which is next to another command block: