Technically, no, BA. It is easy to think of it that way, but in reality, to measure speed, you need a frame of reference and there is no frame of reference beyond space. Space is like a bubble, but it has no outer surface you can touch because space wraps in on itself. So, the frame of reference moves /with/ space, so while space might be expanding all around you right now as we speak and measuring space via Doppler shift from 13 billion light-years away might suggest this, if you were to go out there, it would no longer seem that way and looking back at us, our space would seem expanding at hyperluminal speeds! Yet there is nothing hyperliminal about space to us here in the Local Group.
Also, since space is itself a dimension and not any matter or energy within it, space is not constrained by any limit on expansion, as the early expansion of the universe proves.