I doubt it; however by supplementing the supporting glycosaminoglycans I could see the benefit in taking a supplement that contained Hyaluronic Acid if only to lengthen and protect the life of existing collagen fibrils.
Will taking glucosamine help build collagen?
Because glucosamine is a precursor for glycosaminoglycans and GAGs are a major component of the dermis, I would say that yes it is probably worth trying.
The benefit of glucosamine sulfate is likely the result of a number of effects including its anti-inflammatory activity and the stimulation of the synthesis of proteoglycans.
Would Hydrolysed Collagen stimulate the fibroblast enough to make more collagen type III?
The only benefit that I can see from using Hydrolysed Collagen as a supplement would be to obtain the amino acid content, but again the target is more of joints and cartilage (type II) not collagen found within the loose connective tissue of the dermis. (Type III)
Fibroblast Nutritional Requirements
There are a number of factors that will ensure the formation of healthy strong collagen.
Key Amino acids (proline & glycine)
Silicon allied with magnesium and calcium
Growth factors and Hormones
Zinc is a co factor
Iron is a co factor
Essential Fatty Acids are required for all cell functions and healthy cell membranes