I've done almost all of my competitions alone. This year was the first year I ever cooked with a team. I didn't know what to do with myself. I kept thinking, "Oh..sh!t.... I've got to...no.. wait... I don't. Someone else has got that covered."
You can definitely cook alone. You DO need a cooker you don't have to tend a lot, (I use two UDSs) and you DEFINITELY have to have your timeline planned out, (my timeline is broken down into five minute increments from 11:30 until 1:30) and you have to have gear that you can manage by yourself, (I have a 10X20 ez up that I can't use if I'm setting up by myself. But I CAN use two 10X10s).
It is a lot of work and you have to move. But if your cooker(s) is/are good, you can even get some sleep.
Pro Q Frontier, UDS (Little Red), "Turtle Drum" UDS, CG Gasser KCBS CBJ#61160