I purchased a pair of Nike’s and the material on top of the shoe just below the lace’s is splitting. Can I return them for an exchange or similar pair?

Include the original box too along with the receipt and you should be able to return it. Again it is a management decision.

Nike will replace faulty shoes for life, if they fail then they will replace them. If it's normal wear and tear the will not. You may need to contact Nike directly.

With the receipt within 30 days. Otherwise it's the manager's discretion. But if it's been a long time there is not much chance.