Yes, and avoid getting water on the top while it's healing. Give the sun increase gradually. Most columnar cacti, depending on what it is and where you live, can take full sun and grow best in it.

This is an indoor plant. I intend to put it under some lights pretty close to the plant.

As cactusmharris suggested, increase in light should be gradual, even for artificial light. Start with some distance, and move slowly closer and closer. How far to begin with would depend on how much light it is receiving now.

If it doesn't get some sunlight, the new growth will still be etiolated.