Can a solar powered LED lighting without inverter?

Of course you can run lights without inverters. Both LEDs and incandescent lamps are quite happy on DC. And there are fluorescent ballasts that take a DC input (although they do have a sort of inverter inside). I have one in my shed and it has been working just fine for at least 15 years. It is very simple, easy and efficient. You can do away with the electrical code for wiring, lower you cost. Use less energy and lower the cost to install. In fact is we did this to power may of our day to day items we would also lower the demand for power.

Keep in mind this goes against every manufacturer and government policy and you will be shut down, squashed and run out of town for even talking about this, or at least you used to. I am working on a way to use the current wiring in a home to have direct solar, batter bank lighting. By coming off the grid for your lighting and many other functions, a power outage would hardly make a difference to your home.