Generally speaking: no. The purchase of Climeworks Carbon Dioxide removal services is not deductible from tax as a donation because Climeworks provides a service to its customers in return for a payment and is not a charitable organization.
However, if you are based in the U.S., Canada or the U.K. you can subscribe to Climeworks via Terraset! Find more info here: Tax-deductible donation through Terraset – Climeworks FAQ
For individuals and legal entities that are subject to a tax on earnings (as opposed to income tax), the cost of CDR services may be considered as a business expense and therefore reduce taxable earnings. However, this depends on the applicable national and local laws as well as the specific circumstances of the entity setup and location. Please consult with your local legal or tax advisor for advice, including as regards specific circumstances.