You can claim your dependents but if you made over $440,000 you will not receive any child tax credit.
The child tax credit is reduced by $50 for every $1000 of AGI over these limits:
Married filing jointly $400,000 (CTC disappears at $440,000)
Single, Head of Household, Married Filing Separately or qualifying widower $200,000 (CTC disappears at $240,000)
There are also income limits for education credits:
https://ttlc.intuit.com/questions/1901526-what-s-the-income-limit-for-the-american-opportunity-and-lifetime-learning-credits