For BofA, you can get both but the contactless will be a mobile payment tag (those things that you stick to your cell phone or what not)

For one selected with both Tap-and-Pay and Chip Cards filter, I chose BofA Cash Rewards and opened their application. Without filling anything in, towards the bottom of the application there is this checkmark section:




So it's not a true all-in-one feature card like US Bank, but it still gives you an EMV card with a magstripe on the back plus a contactless payment tag to do credit card processing in three ways (four if you want to include the old carbon copy imprinting of the raised numbers).