Is it okay to suffer from continual itchy, dry and puffy tired eyes?

No. Might need an evaluation for skin disease, allergies (seasonal, contact, etc), thyroid disease, etc.
No. They chronic dryness and itch can be signs of an underlying skin problem such as allergy or eczema. Best to be seen by a dermatologist or ophthalmologist to check for this. Often a review of your cosmetics or cleaning agents can be helpful. Sometimes, a short course of antihistamine or topical steroids can reduce the discomfort.