I chipped my tooth and I'm pretty sure that the chipped piece is in my upper lip. Is this a problem?

No way to advise you without a picture and an x-ray, but I would say this:  if you broke a tooth and don't have insurance, then get to a dentist and just pay for it.  I can promise you that if something is wrong it will only become more expensive and difficult to fix as time passes. 

It does appear that your tooth is dying and that you will need a root canal and crown to restore this situation.

Hi in Sacramento!  Many people do not have dental insurance, but you happen to be in California and you probably could qualify for help if you call Medical.  All adults that are unemployed or make a minimum wage can qualify for Dental Care.  The # to call is 1 800 322-6384. ...