Jesus Christ, NO.
Until 6 months of age, infants should have nothing but breastmilk (or formula, in the event that it's necessary). After that solids can be introduced, but breastmilk should be continued until at least 12 months (according to the American Academy of Pediatrics) or at least 24 months (according to the WHO).
My daughter is three, and I've *never* given her HFCS. Very, very occasionally I'll give her a *sip* of fancy-schmancy soda made with cane sugar, and as a treat I give her 1/2 fruit juice and 1/2 club soda. I'm not sure when the policy will change, but it's several years out. I simply don't see any reason to introduce empty calories like soda into her diet, not to mention the phosphoric acid, HFCS, and host of other nasties it contains.