Some insurance companies that sell the easy issue life insurance policies may restrict the total dollar amount of life insurance coverage that you can buy.
Other than that, if you are taking out regular life insurance policies (the kind that you give a physical exam, blood test and check your medical records) you should be fine.
Many times individuals may have multiple life insurance policies with the same company as one may be a term life policy and the other a permanent life policy, or you may have two term policies with different term lengths to meet your life insurance needs for your family.
Or, you could own life insurance policies from more than one insurance company. It's up to you.
Usually, insurers are more concerned with the total amount of life insurance protection you have, than they are with how many policies you own.
Learn more about how many life insurance policies you can own.