No. Eligibility turns on Canadian or Mexican citizenship, which permanent residence alone does not satisfy, a qualifying listed profession with its credential requirements, prearranged professional work in the United States, and temporary entry. Relocation terms are a compensation arrangement and are not a substitute for a letter describing the professional duties.
Keep the money terms out of the duty statement
An employer letter that spends its length on salary, benefits and relocation while describing duties in a sentence leaves the central question unanswered. Relocation terms can sit in the offer or in an addendum. The letter supporting the professional position should concentrate on what the work is, the qualification it requires, and the temporary nature of the arrangement.
The omission a reviewer notices is narrower than most applicants expect: the letter never names the listed profession it relies on, so the duties float free of any category. A second version of the same problem is a senior operational title dressed in consulting language. Hypothetical example: a residential-care administrator whose actual work is running a facility is described as advising on operations, which invites a question about which entry the position belongs to and whether the duties match it.
Name the entry, then describe duties that sit inside it. Self-employment is not permitted on this route, so a letter that reads like a service agreement raises a further problem.