Ftm, how possible is early labor?

Crystal • I have two angel babies and a beautiful rainbow baby. Cruz was born 7/11/2016 and is perfect! Thank you Glow!
Hi ladies! I really just need your experience and opinions. I'm a ftm and I'm 34.5 weeks pregnant. My doctor considers full term anything past 37 weeks. I've had a totally healthy and normal/easy pregnancy. Most of what I have read says that ftm are far more likely to go past their due date rather then go early. Is that pretty much true? 
I ask because my hubby just called to let me know he just scheduled a fishing trip with his buddies in a few weeks. I went to add it on my calendar and realized its when I'm 38 weeks pregnant. He will be sea fishing  on a boat several hours from shore with limited to no cell service. It's only one day, leave early am and return late night. 
I know if I asked him not to go, he wouldn't, but I don't want him to miss out on the fun if there is little chance of me falling in labor while he is gone. 
Opinions?