Can I successfully grow herbs indoor but away from a window?

The herbs will receive 1-2 hours of direct sunlight. Which herbs can I grow in this type of environment?
The plants will be shaded for most of the day. Do I still need artificial light if it’s bright indoors (no direct light at all) for 10-13 hours during the day?
I was thinking of putting the herbs on my kitchen counter, so it will also get light from the kitchen during the night. Does that count as aritificial light?