As long as there is a transition zone. There is a spot like this in Boston and it’s mind boggling that it is surrounded by bike lane roads and paths but has no bike parking areas. So you can bike to this plaza, but then there is nowhere to put your bike to enter the pedestrian only area once you get there. Naturally this leads to cyclists trying to cycle in the no cycling zone looking for a place to put their bike.
Planning for areas like this needs to account for the wider city design. Is there a parallel street that needs bike lanes added so cyclists can get to the far ends without going through it? Is there somewhere for cyclists to put their bikes (ideally at every cross street)? Etc…