Why was there a time period between the crucifixion and Peter's offer of the Kingdom in Acts?

The interval allowed the derision and perplexity described in the timeline to unfold among the nations. That period gave the then-known world opportunity to reach the same political and economic confusion seen today, so the end thing could have been brought about.

Les teaches that God knew Israel would not accept the valid offer, but Israel did not know that and still acted of its own free will, just as humankind and nations do today. Israel responded to the offer by rejecting it, and by rejecting it brought about what had to happen for our salvation, the crucifixion, with Jew and Gentile together part and parcel of it. Les then points to the timeline: between the crucifixion and Peter's offer of the Kingdom in the Book of Acts, there was again a time period in between wherein the derision could have taken place. He connects derision with Luke's word perplexity, meaning such confusion over political and economic problems that people do not know which way to turn. During that interval, the nations of the then-known world could have come to the same perplexity where we are today, and the end thing could have been brought about.

Psalms 2:3

Let us break their bands asunder, and cast away their cords from us.

Psalms 2:4

He that sitteth in the heavens shall laugh: the LORD shall have them in derision.

Was there another time between the crucifixion and Peter's offer in Acts when the end could have been brought about?

Yes, there was another time period between the crucifixion and Peter's offer of the Kingdom in Acts when the end could have been brought about. During that interval, the derision could have taken place, the nations could have come to perplexity, and the end thing could have been brought about.