Possibly. All the rules are in publication 501.
https://www.irs.gov/forms-pubs/about-publication-501
Because you are a grandparent, the guardianship appointment makes no difference.
The first issue will be, where did the child live more than half the nights of the year? (With which parent or other person did they live with.) That means 183 or more nights, they do not have to be consecutive.
If more than one person meets that standard (such as, because your daughter lived with you in the same home as the grandchild for 183 or more nights, before moving out) then you go to the tiebreaking rules. Unfortunately, the first tiebreaker is that dependent status goes to the parent, if the parent qualifies. So if your daughter shared your home with her child for 183 or more nights, then even though you both qualify, your daughter gets to claim the child this year if she wants to.
Assuming the situation remains the same next year, she will not have a claim next year.
Also, if your grandchild did not live in the same home as your daughter for 183 or more nights, then your daughter does not qualify, but you may still qualify. .
