Yes, you can run a multilevel model without level 2 predictors. This is sometimes referred to as a random coefficient regression analysis. In that analysis, you would simply model potential variability in the level-1 regression intercept and/or slope coefficients across clusters (level-2 units) without explaining that variability by level-2 predictors. This allows you to properly take into account the non-independence that arises from cluster sampling that is shown by your ICC.

Dear Christian Geiser , thank you so much for your reply with explanation!