Quantising is a sequencer feature - to push/pull the beats onto the right points if they're slightly out.

If it's the delay causing the problem then there's certain things you can do

1) Midi Delay
Copy the hihat pattern onto another track and offset by a few beats. If your using a real drum machine this might not be the best idea though - as sometimes they might only play 1 of the hihat sounds at a time (the open/closed might interfere and the hat sounds might retrigger).

2) Using Delay Units
If your using a delay unit without a tempo sync function or tempo bpm setting then do the following maths...

60 / BPM = length of one beat in seconds

1/16 of a bar is 1/4 of a beat so divide this number by 4 to get the length of one sixteenth.

Make sure your delay times are multiples of this number. I usually use what are called dotted eights (multiply by 6) as this has a nice, not quite on beat but in time delay effect.

If you have a stereo delay try a multiple of 4 on the other channel. Doing this you might have to fiddle with the feedback times as the one with the shorter delay will fade out faster.

Have fun. ;)