Short answer is YES!
If you are using the Orders and Products listings within Stripe to capture sales then you can use your TaxJar API Token and configure Stripe Tax Settings to use SmartCalcs for calculating taxes. Read about it on Stripe's TaxJar documentation.
To get your completed Order history out of Stripe into TaxJar you can connect the two accounts from your TaxJar Account page.
If you are using Subscriptions or Payments only at this time like many then our team put together an awesome guide to use the TaxJar SmartCalcs API with Stripe Payments.