YES- this is called Dual Intent.
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Dual intent is present when a foreign national who has applied or may apply for permanent residence in Canada also applies to enter Canada for a temporary period as a
Having 2 intents (1 for temporary residence and 1 for permanent residence) is legitimate. This section addresses how to apply subsection 22(2) of the Immigration and Refugee Protection Act (IRPA) to the decision-making process.
Subsection
A22(2) states: “An intention by a foreign national to become a permanent resident does not preclude them from becoming a temporary resident if the officer is satisfied that they will leave Canada by the end of the period authorized for their stay”. Dual intent on the part of the applicant is therefore not prima facie grounds for refusal of temporary resident status.
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https://www.canada.ca/en/immigration-refugees-citizenship/corporate/publications-manuals/operational-bulletins-manuals/temporary-residents/visitors/dual-intent-applicants.html