Did Paul expect Timothy to see “the last days”?

This is an example where often the theological presuppositions guide the interpretation.

My presupposition is that the days of Gen 1 are not only literal days of creation but metaphoric days or ages of God's work in the world, culminating in the marriage of the Lamb, and the man and his wife being fruitful and multiplying before entering into God's Rest.

As such, the 'last days' are days 6 and 7. God makes man in his image and likeness. Christ is the express image of God, and we are made to be like him. The marriage of the Lamb takes place after the cross, in this world, since there is no marriage in heaven. Christ and his bride are fruitful and multiplying in this world, until we enter his rest.

Therefore, the time between the cross and entering His rest are the last days. Paul and Timothy lived as the bride of Christ and were fruitful and multiplying until they entered God's rest.

Paul's instruction for the last days were for Timothy and for us.