i didn't get the question...
"My question is, can my family not come with me in the first place with me when I am going to Qatar. In other words, can company not apply visa for my family as they are now applying for visa?"
who are "they" that "are now applying for visa"? Your family? what type of visa they are applying for? And do you want or you don't want your family to come with you?
try again..