Is it possible to have more than one life or medical insurance policies?

I have invested in SBI ULIP which i plan to use as an investment growth rather than life cover. At maturity i would like to withdraw the fund thus my life ins will also cease to exist.Moreover at that time the premium will also be quite high if i go for new life ins policy. Therefore I plan to buy pure life insurance policy now.

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can you have more than one medical insurance,IS IT POSSIBLE TO HAVE MORE THAN ONE INSURANCE POLICY