If by the "included driver" you are referring to the iFixit Precision Bit Driver that fits 4 mm bits, the quick answer is no. A ¼ (.25) inch (6.35mm) bit will not fit. However, an adapter is available on Amazon although it may not be cost effective. Here's a link:
https://www.amazon.com/IANROL-Adapter-6-35mm-Screwdriver-Magnetic/dp/B0BNL2TW8Y/ref=sr_1_5?crid=21VUEDT7CEEQX&dib=eyJ2IjoiMSJ9.EgMdP3KxDUO8D1-8sCfM2uK_pahMTOyMOmKGOdmA1-nJ4AsC2jZFRwE0uAJBFBGJQTz2zptCPzy-ekfjTLv3UKcGJScP10uEjpZ5w9gNMig6V8jlOrlrP8IjiL6_wTEL4-6m1yOLM4e6PMTO1gKEmKjYfBCHXAAu9Udofs-FFgdfxtAeH7iAq-BCkGRHiXzkf3rsEcexu-O_ZUbSxZXllUq3_VpkD3-Tu1mJKbuFmnNPWGS09jcK6-XE9MMkI0_9m5n2U5rTdq4SyrSwrUj4wFHNWGIFDpfWE1mOSCJhdSA.WxVwJWQGSjcU7bjUxGxZ1AjxVRLXJkF2Zuyu6NjP17I&dib_tag=se&keywords=4mm%2BScrewdriver%2BMicro%2BBit%2Badapter%2Bto%2B6.35mm%2B1%2F4"%2BInsert%2BBit%2BHolder&qid=1718681703&sprefix=4mm%2Bscrewdriver%2Bmicro%2Bbit%2Badapter%2Bto%2B6.35mm%2B1%2F4%2Binsert%2Bbit%2Bholder%2Caps%2C123&sr=8-5&th=1