Are there analog re-configurable filters?
can we have re-configurable analog filters?

Yes. The knob you turn on your grandma's kitchen or living room radio changes the tuning of an oscillator by changing the capacitance of a component. Any stable oscillator is essentially a filter for its resonant frequency.
Also, plenty of other examples: Tunable RC filters with adjustable R; mechanically tunable metal spring filters; tunable microwave cavity resonators with tuning screws, PIN diode-based LC filters... the list goes on.
Basically, take any analog filter topology and make one of the components adjustable, you get a reconfigurable filter.
Is that useful? Well, sometimes it is, if you need to keep your passband adjustable (though that is more commonly done via octave filter banks) or need to adjust your ADC's anti-aliasing filter (though that is more commonly done using high-rate ADCs and digital filtering / sampling methodology).
Generally speaking, you avoid doing complicated things with filters in analog domain as far as possible, really. Analog filters are always a trade-off, and digital filtering hence has replaced them wherever feasible.
Can you get as much freedom as with a digital filter? Practically never. Something like a RRC is pretty trivial in digital, but will need a lot of work to even remotely approximate in analog domain, it will be dependent on temperature, and costly. The closest you'd get to an analog RRC would probably be a bucket-brigade filter, and that's almost a digital filter: discrete in time, but continuous in amplitude.