Yes. The KMO score of.937 indicates that the sample is highly correlated and that your sample size is enough for assessing the variables in your study. Furthermore, Barlett's Test of Sphericity demonstrated strong significance with a result of.000, which is less than.001, implying that all items are factorable. You may look for references to corroborate and support this interpretation, Md Rizwanul Karim
You should proceed then to CFA. You may consider analyzing the Scree plot to determine the total variance of data suited by total initial Eigen value against the number of components and analyze the unidimensionality of the indicators. Thereafter, develop the model through CFA and analyze the fitting indices. Only then can you assure that your model is fit.