As a single bird it would be expected that Chico might call you you and your partner (his flock) when you're out of the room, though it could be something else too. Boredom can cause screaming, does he have a spacious cage (no smaller than about 18"dx18"hx30" wide) with lots of toys to keep him occupied when his "flock" is away? The other thing i can think of right away is does he get enough sleep. Tiels need to be covered (or in dark/quiet) for at least 10hrs a night, but 12hrs is even better. When i just had Cookie she would SCREAM ALL THE TIME, always calling for me, worried to be left on her own. However, i started putting her to bed at 9pm rather than 10:30pm with the budgies. She's barely screamed since.
As to whether a friend would help, i would say definitely, but you wouldn't want to use the second tiel to calm him down. I would try the first things i mentioned (lots of space and toys if he doesn't already have that, earlier bed time, again, if he doesn't already have it) to try to stop most of the screaming before adding a friend. Keeping them in separate cages had potential to create more screaming if they really want to be with each other, but if you've got a large enough cage you may find that Chico won't mind sharing so much. If you introduce them out of the cage first, and let things move slowly i doubt you'll have a problem at all. Rearranging all perches and toys in the cage will help make Chico less territorial too. Tiels are fairly gentle and peaceful birds, most of the time.
And remember, as with any new bird, 30 days minimum quarantine in a separate cage and room is an absolute must.
As to whether a friend would help, i would say definitely, but you wouldn't want to use the second tiel to calm him down. I would try the first things i mentioned (lots of space and toys if he doesn't already have that, earlier bed time, again, if he doesn't already have it) to try to stop most of the screaming before adding a friend. Keeping them in separate cages had potential to create more screaming if they really want to be with each other, but if you've got a large enough cage you may find that Chico won't mind sharing so much. If you introduce them out of the cage first, and let things move slowly i doubt you'll have a problem at all. Rearranging all perches and toys in the cage will help make Chico less territorial too. Tiels are fairly gentle and peaceful birds, most of the time.
And remember, as with any new bird, 30 days minimum quarantine in a separate cage and room is an absolute must.