Of course. You couldn't expect the apostle to the gentiles to say something else.
In context, Paul's audience:
Acts 28:17 And it came to pass, that after three days Paul called the chief of the Jews together: and when they were come together, he said unto them, Men [and] brethren, though I have committed nothing against the people, or customs of our fathers, yet was I delivered prisoner from Jerusalem into the hands of the Romans.
John 7:1 After these things Jesus walked in Galilee: for He would not walk in Jewry, because the Jews sought to kill Him.
Matthew 13:10 And the Disciples came, and said unto Him, "Why speakest thou unto them in parables?" 11 He answered and said unto them, "Because it is given unto you to know the mysteries of the Kingdom of Heaven, but to them it is not given. 12 For whosoever hath, to him shall be given, and he shall have more abundance: but whosoever hath not, from him shall be taken away even that he hath. 13 Therefore speak I to them in parables: because they seeing see not; and hearing they hear not, neither do they understand.
14 And in them is fulfilled the prophecy of Esaias, which saith, 'By hearing ye shall hear, and shall not understand; and seeing ye shall see, and shall not perceive: 15 For this people's heart is waxed gross, and [their] ears are dull of hearing, and their eyes they have closed; lest at any time they should see with [their] eyes, and hear with [their] ears, and should understand with [their] heart, and should be converted, and I should heal them.'
13:16 But blessed [are] your eyes, for they see: and your ears, for they hear. 17 For verily I say unto you, That many prophets and righteous have desired to see which ye see, and have not seen; and to hear which ye hear, and have not heard."
The rest of the quote:
Esaias 6:11 And I said, How long, O Lord? And He said, Until cities be deserted by reason of their not being inhabited, and the houses by reason of there being no men, and the land shall be left desolate. 12 And after this God shall remove the men far off, and they that are left upon the land shall be multiplied. 13 And yet there shall be a tenth upon it, and again it shall be for a spoil, as a turpentine tree, and as an acorn when it falls out of its husk.LXX
But still, this does not show that there are two gospels - only that Paul and Peter had different missions / people groups to go to with the same, one gospel.
Reading 1 Peter last night, the similarities between what he writes and what Paul wrote is clear. At no point does Peter speak of a "gospel of the Kingdom" and a gospel to the gentiles in his letter - and he wrote the letter for both audiences. This would have been a perfect time to make the distinction. There is no phrase at all that I could find about a 'gospel of the Kingdom' (not that I have a problem with the phrase, only a problem at making this phrase distinctive or different from the gospel of Jesus born, lived, died, raised, ascended, and the Spirit given).
Rather, Peter speaks about:
1. The resurrection (1:3)
2. Faith (vs 5) - his phrase is 'guarded through faith'
3. Faith again in vs 7
4. Faith again in verse 9, and how salvation comes by faith
5. The sufferings of Christ (vs 11)
6. The Holy Spirit (vs 12)
7. Grace (vs 13)
8. Holiness (vs 15) - now after he has spoken about faith and grace and the Holy Spirit and the sufferings of Christ
9. Once again refers to the crucifixion in vs 19, in light of a discussion on holiness
10. Believers, the resurrection and faith (vs 21)
11. Love (vs 22)
12. The Word, the good news, the gospel (vs 25) - which he is implying he has basically outlined.
With (12) in mind, the gospel Peter has outlined has had to do with salvation by faith, the grace of God given, the crucifixion and the resurrection, and holiness in light of these concepts - and holiness is described as love. This is all in 1 Peter 1 and anyone can go read it and see that I am not picking out verses to suit me.
This is identical to Paul and John. The only difference is John works his logic in a circular way, whereas Paul works his logic in a very linear way.
As with Paul, Peter focuses on the crucifixion and the resurrection primarily in his letter, with references to the 'subsequent glories' and the ascension.
There is honestly nothing different here to Paul.
The focus on love is very Johannine. And Paul focuses a huge deal on love in his writings.
How anyone could read Paul and Peter and also John and think there are two different gospels is beyond understanding.
Who was John called to? What mission did he have? Did he have a different gospel too? Did he have Peter's gospel? Or Paul's gospel? Or his own?