Will it lead to Overfitting / Curse of Dimensionality

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Yes, you can apply the ML model but before that understanding of your problem statement come into a picture with all of the feature name available in the data set. If you are having big dataset try to convert it into a cluster of 2 or else take a small dataset to analyze what your data speaks about.
That is why population & sampling come to practical use.

You have to check whether accuracy of the train data set & test data set should be the same, if not then your model is memorizing instead of learning & here Regularization in Machine Learning comes into a picture.

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