Can I buy multiple insurance policies from different insurance providers?

Yes, you can buy more than one insurance policy from different insurance providers. However, make sure you share your existing policy details with the new insurance provider while purchasing a new insurance plan. For example, If you buy your second insurance policy from another insurance provider then the information about your first insurance policy should be shared with the second insurance provider. Similarly, if you buy a third insurance policy from a third insurance provider then the information about your first and second insurance policy should be shared with the third insurance provider. 
This is important because insurance providers factor this into their underwriting decision to make sure that the total cover you have is in line with your financial liabilities.