If i have 28-32 days of cycle, and i had an intercourse on the 24th day, 7 days before my period. is there a possibity that i'll conceive? hope not.

Yes: There is always a chance of pregnancy ,I will do pregnancy test just to make sure

If your: Period is regular and you had sex 7 days before your period theoretical you can not get pregnant since ovulation wound have occurred 14 days before your period and 7 days before you had sex. Too long for the impatient egg that probably died 5 days earlier to wait. However if in doubt do pregnancy test