Yes, by all means get them out!  Mine were 5.5 weeks when I put them out last year and I was so glad to do it!  Our coop wasn't even finished but I couldn't handle the cheeping all night long, the dust, and the work for one more day!  April 1, out they went!
 
The day I evicted them, I also put a heat lamp and a wireless thermometer in there.  Big mistake!  All night long I kept watching the numbers on that thermometer fall, and I kept jumping out of bed and checking on them.  It was down to 20 degrees, yet every time I went out there and looked in on them they were sleeping soundly in a snuggly pile, nowhere near the heat lamp.  The second night it was the same story, except I only got out of bed to check them once.  Again, nowhere near the heat lamp.  The third day the heat lamp came out.  If they weren't going to use it, I wasn't going to risk a coop fire just to ease my own guilt.  That night it snowed.  We got our last snowfall June 6th, and the entire time they were out there growing and thriving.
 
Now I skip the heat lamp and the indoor brooding entirely.  I brood all my chicks outdoors in a pen within the run (not the coop, because I felt that it would leave them and the older birds way too little floor space) and I haven't lost a chick or had one get sick yet.  They are totally integrated with the adults by 4 weeks old.  
 
https://www.backyardchickens.com/a/yes-you-certainly-can-brood-chicks-outdoors
So relax, have a glass of liquid courage, and pat yourself on the back for getting them to this point.