Unfortunately not. As said by Lesha, Reels is a LoFi processor.
The thing is that all the tape controls, except the Pre-Emphasis and the Crosstalk, are tied to the selected tape, so they actually change (and slightly affect each other) according to which tape is selected. You can of course tune them down, but yeah you can't turn off the tape response. I don't think it would make really much sense in this type of plugin, but I'll think about it.