The Japanese word for to pull is
引く

ひく - hiku

Japanese Definition

引く
1. v. (ja-vp, 引く, 引ける)
2. v. pull (something toward oneself)
3. v. pull (along); drag; drag along; bring along while going somewhere
4. v. bring (people) in; bring together
5. v. attract (someone's) attention
6. v. pull out; stretch; spread (something over a surface or a distance)
線を引く - to draw a line
7. v. subtract; take away
６から４を引くと２になる。 - Subtract 4 from 6 and you get 2.
8. v. (of an illness) catch
風邪を引いちゃった。 - I caught a cold.
9. v. page through (a dictionary) to look up; look up
知らない単語は辞書を引いてください。 - Please look up words you don't know in a dictionary.
10. v. (intransitive) pull out; pull back; withdraw; retreat
痛みが引く - pain withdraws
11. v. (intransitive) to draw away from a person; to find someone repulsive; to be turned off
(synonyms, ja, なえる, tr=naeru)
あいつみたいな人は引くわ。 - I'd totally stay far away from that kind of person.
好きな人に引かれた - got avoided by my crush
12. conj. (mathematics) minus (subtraction)
１２引く６は６だ。 - 12 minus 6 is 6.

引っ張る
1. v. pull, yank
袖を引っ張る - to tug someone's sleeve
2. v. string (cable), stretch (a rope over something)
3. v. drag, tow
4. v. bring someone in