Not really. That sort of payment processor might allow you to specify a tax rate to include on a bill and maybe to configure different rates that are automatically selected depending on where your customer is. However, typically they do not actively monitor and update the current tax rates for different areas, nor do they handle the reporting and remittance to all required authorities, so they only take care of a small part of the overall compliance requirements.
There is another type of service becoming increasingly prominent, which is a "merchant of record". In effect, the service becomes a reseller for your product or service, and since they are then the vendor for legal purposes, they also become responsible for all the end customer taxation issues. You in turn typically deal with them as a much simpler B2B relationship between just two entities.
There is another type of service becoming increasingly prominent, which is a "merchant of record". In effect, the service becomes a reseller for your product or service, and since they are then the vendor for legal purposes, they also become responsible for all the end customer taxation issues. You in turn typically deal with them as a much simpler B2B relationship between just two entities.