Does elo rating have a limit? The highest Elo rating to date is 2882, which belongs to Carlsen, while the last Elo rating of Kasparov is 2851. Could I have an Elo rating of 2950 or maybe 3000? Does the Elo rating have a limit?
No, Elo ratings have no theoretical limit. If Alice scored 76% against Carlsen (rating 2853) consistently, she would stabilize at a rating of 3053*, and if Bob scored 76% against Alice, he would stabilize at a rating of 3253**, etc. There is no theoretical end to this sequence. However, consensus seems to be that in practice a perfect player would have a rating somewhere in the 3000s.

*Assuming Carlsen performed well enough against other people that his rating stayed at 2853

**Assuming Alice performed well enough against other people that her rating stayed at 3053