No. Faster document delivery does not guarantee that the credential meets the rule or that the immigration process will finish by a chosen date.
Separate the purchased service from its legal effect
Identify what the institution or evaluator will actually provide. Keep document costs apart from government and professional expenses, and do not treat a rush fee as purchased work permission.
Where a credential evaluation may be needed, obtain a written view first on whether an evaluation would actually resolve the mismatch for this specific profession, because evaluations differ in scope and one prepared for a licensing body may not address the question at hand. The larger spending usually sits elsewhere: an adviser's time reading the offer letter against the profession's rule, a credential evaluation if the degree was issued outside Canada, Mexico or the United States, and certified English translations for any document not already in English. Keep employer credentialing, practice registration, any health-worker certification and immigration preparation as separate budget items rather than assuming one charge covers them all. Sequence the spending too: a preliminary review of the profession, the qualification and the citizenship condition costs less than a full document package, and an unfavourable answer at that stage avoids the larger expense entirely.