Only if you don’t read the verses before that quote when Saint Paul asks his followers to pray for others. If you can only ask Jesus to pray for you then St. Paul is wrong when he writes:
“First of all, then, I ask that supplications, prayers, petitions, and thanksgivings be offered for everyone,
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for kings and for all in authority, that we may lead a quiet and tranquil life in all devotion and dignity.
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This is good and pleasing to God our savior,
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who wills everyone to be saved and to come to knowledge of the truth
1First of all, then, I urge that entreaties and prayers, petitions and thanksgivings, be made on behalf of all men,
2for kings and all who are in authority, so that we may lead a tranquil and quiet life in all godliness and dignity.
3This is good and acceptable in the sight of God our Savior,
4who desires all men to be saved and to come to the knowledge of the truth.
5For there is one God, and one mediator also between God and men, the man Christ Jesus,
6who gave Himself as a ransom for all, the testimony given at the proper time. 1 Timothy 2:1-6 NASB
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IF one understands this letter one will see the requests for prayers are for people here on earth.
We also see the primary aim of these prayers which is to bring all to a saving knowledge of the truth, which is faith in Christ.
We also see the clear teaching there is one mediator between God and man and that is Christ. This is a clear repudiation of the false Roman Catholic claim elevating Mary to the position of Mediatrix.