What do you think about Infinix smartphones. I bought such a phone not very long ago and used it. I liked everything. But recently I dropped my smartphone on the asphalt and shattered the screen. Very sorry

Is it possible to change the screen yourself?
Yes.
If it needs a replacement of a new LCD then it should be. Since you've said that it's not long ago, try to go back to the store and maybe it's still covered by a warranty.