I finished my period the 5th of February and just a few days ago I noticed my nipples leak a bit. If I squeeze them it almost smeems like I am producing milk. I remember when I was pregnant with my son I started producing milk around 4 months through my pregnancy. Could it be possible that I can produce milk if I am a few weeks pregnant. I would only be like a week and a half.

It's possible you are still able to express a bit just from having been pregnant before. How old is your son? Some women will find they can express a bit months and sometimes years later.

If you finished your period 5 Feb. in most cases, if you did become pregnant pretty soon afterwards, implantation would have just finished or still be in the process. It could likely be due to ovulation because of shifts in hormones.

My son is 3 yrs and I have I didn't breast feed. I have never got this before

Possibly still due to having been pregnant before. You can always check with your doctor. They may decide to do a check on your prolactin level to see if it is elevated. Are you on any medication?