Absolutely. There are different ways that you could possibly adopt the child, become its guardian, etc. This is not my area, specifically. However, I would contact an attorney that focuses on adoption and termination of parental rights. I would also see what your brother and sister-in-law think about the whole thing as they might just be very willing to allow you to help out while they get their lives together. I'm sure that some adoption attorneys will weigh in here but if you need some recommendations for good attorneys in that field, you can contact me.
Bill Rosenfelt 407-462-8787
Good luck and that's great that you are looking out for this child.
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The easiest and quickest way to get this done is to get them to agree to temporary custody by extended family, then hire an attorney on an uncontested basis. Both parents must consent. If they will not consent, you can file a contested petition but you will have to prove that they are unfit and it will cost much more to get this done.
R. Jason de Groot, Esq., 386-337-8239
There are a couple options, depending on what your goals are. The Temporary Custody by Extended Family Member is often the path taken if you aren't looking for something more permanent. The termination of parental rights/adoption is obviously a bigger step that would require a significant number of factual findings if the parents aren't willing to sign a consent. I have several cases like this at any given time and would be happy to discuss your options further at your convenience. Feel free to call my office. Pates Law Group 407-896-1166.