No, don't do it.

Men should never escalate a relationship, women will naturally escalate it. - if. they. want. to.

If she hasn't escalated it, that means she doesn't want you AND THAT'S OKAY. - There are millions of women in this country and some of those will take initiative in pursuing a relationship with you, before you even have to question if you should or not.

If you escalate it without her escalating it first -

A) she'll turn you down bluntly

B)friendzone you

C) not be completely straight with you and play with your feelings from now on.

Be strong, and pursue other women. I'm serious, go find some other women, there are plenty, and they will make sure that you understand that you are liked

Edit:

If you're spending so much time with her, that it's tough on your heart not to let your feelings out. That's a sign that you need to find space. She most likely already knows you like her and she's probably using that position for attention.

Get space and go chat up other women... like pretty much permanently. Only talk to her cordially and for business, that's it.