The short answer is yes. The HIRO Detail Package, for example, use a vertical wood I-joist (9.5” deep) exoskeleton fastened through the exterior wall sheathing into wall studs. Most conventional plans will have the walls framed with 2×6’s. This may be reduced to 2×4’s as most of the insulation will be in the wood I-joist cavities. The Designer or Builder must keep in mind that the wood I-joists increases the gross building area and may also encroach on required setbacks on the property. City Officials may grant a variance on the thicker walls if pursuing a building enclosure renovation that makes the home substantially more energy efficient or pursuing a Certified Passive House. This should be verified with your local City Official.
Refer to Akira Living’s Pre-Design Assessment Service and let’s see if a Detail Package will work on your project.