You need to put a rest day in the middle of that split somewhere. Your body needs time to recover or you aren't going to grow optimally.
You could work a muscle out 5 days per week if you reduce the volume enough. For example, one set for your biceps on each day would be acceptable. 5 sets for your biceps each of the 5 days would be too much.
According to the principles of HST, there are hormonal benefits to working out a muscle group more frequently with less volume each session.