You can. God accepts our intentions. Trust that He inspired you to this idea that has come to you.
This is how I sought to pray concurrently for others.
On behalf of others
Heavenly Father, encouraged by the Eucharist in which Jesus gives Himself wholly to multitudes of communicants throughout time, I pray concurrently for everyone, for my family, physical and spiritual, as if each were the only one.
I pray on behalf of Your faithful ones; of those who are sadly denied Communion; of the unbelieving, of the discouraged and of all who are ever denied ministry of their faith, all those who are suffering in any way, so that You may unite their deprivation, misery, even torment of body, to Jesus in His Eucharist. I offer their struggles and achievements, so that, even if unaware, they share in the spiritual life of the Church.
I know that in Your great love You will accept my prayer on their behalf, in union with Jesus in whom everything attains infinite value, however unworthy the supplicant. supplicant. Let it give them comfort and peace, and full Communion in You. Let it obtain pardon for their sins and let it obtain their faith, hope and charity despite materialism or injustice that confronts and embroils them.
Father, through crucified and risen Jesus, I trust You to share to repletion the lowly bread of my prayer that is leavened to infinite abundance by communion in You. Give my prayer again and again through Him who endlessly gives Himself wholly to each person in the Eucharist.
Please enflame me (and all Christians) with gospel authenticity that will also ignite others with faith and ministry. Thank You God who acts in us beyond human understanding.