No, not all taps will be a suitable fit for all baths. Typically, your bathroom fittings and fixtures will play a part in dictating which taps can accompany them, in addition to your own personal preference.
In the case of freestanding baths, for instance, the design of the tub (without tap holes) will usually mean you would have to opt for freestanding taps or a wall-mounted tub filler.
You can find more guidance regarding which types of taps will best suit stand alone baths, and any other types, in our blogs, A Complete Guide To The Different Types Of Bathroom Taps, and The Bathroom Taps Buyer’s Guide.