Yes, Peach Payments supports mobile interfaces in 2 ways:
Hosted front end: In this option Peach Payments provides you a mobile optimized payment frontend which you can integrate into your app or mobile optimized website. This option does not require you to obtain PCI compliance
Flexible XML integration: We can also provide a more flexible XML integration option which allows your e-commerce or m-commerce site to be fully integrated from the back-end through to the front-end giving you complete control over content presentation and layout. You can also configure the check-out process on your website so that it is mobile compliant thus ensuring that your customers can pay for your products/services via your mobile-compliant website. This will however require you to obtain PCI-DSS certification for credit card processing.