No, unfortunately. As xmasbaby0 and skp54 stated, you do not, in all likelihood, meet the requirements to claim your child as a dependent. You yourself stated that your child did not live with you during the year and, other than the amount you stated, you did not pay for more than half of his support.
For future reference, and as this is early in the year, you may want to begin keeping track of all expenses paid by you for your child's support. It still may not be enough, but it may give you a baseline to follow for future years if the child is released at some point.
The following is an excerpt from Publication 503, child and dependent care expenses:
Who Is a Qualifying Person?
Your child and dependent care expenses must be for the care of one or more qualifying persons. A qualifying person is:
1. Your qualifying child who is your dependent and who was under age 13 when the care was provided (but see Child of divorced or separated parents or parents living apart, later);
2. Your spouse who wasn't physically or mentally able to care for himself or herself and lived with you for more than half the year; or
3. A person who wasn't physically or mentally able to care for himself or herself, lived with you for more than half the year, and either: a. Was your dependent, or b. Would have been your dependent except that:
i. He or she received gross income of $4,400 or more,
ii. He or she filed a joint return, or
iii. You, or your spouse if filing jointly, could be claimed as a dependent on someone else's 2022 return.
Dependent defined.
A dependent is a person, other than you or your spouse, for whom you could claim an exemption. To be your dependent, a person must be your qualifying child (or your qualifying relative). However, the deductions for personal and dependency exemptions for tax years 2018 through 2025 are suspended, and, therefore, the amount of the deduction is zero. But, in determining whether you may claim a person as a qualifying relative for 2022, the person's gross income must be less than $4,400. Qualifying child. To be your qualifying child, a child must live with you for more than half the year and meet other requirements. More information. For more information about who is a dependent or a qualifying child, see Pub. 501. Physically or mentally not able to care for oneself. Persons who can't dress, clean, or feed themselves because of physical or mental problems are considered not able to care for themselves. Also, persons who must have constant attention to prevent them from injuring themselves or others are considered not able to care for themselves.
Publication 503
Publication 501
@GiustL
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