There are two basic methods:
1.) In a passive reference topology you simply can replace a (grounded) L by an active circuit (actively simulated inductance),
2.) You can replace the role of the inductance (NOT the inductance as a part) using one of the various active RC topologies.
For this purpose, the transfer function is necessary.
Of course, in both cases it is possible to keep the frequency characteristics.
The RL high-pass can be replaced by a RC high-pass with same cut-off frequency, but only under specific conditions for the source and load impedance. As long as the external impedances are unknown, there's no solution.
A condition that can be easily solved is ZS = 0, ZL = infinity.
Yes - as long as you speak about PASSIVE circuits. However, for ACTIVE RC circuits you can realize Q values as large as you want.
Not quite
The LC equivalent circuit of a passive crystal or ceramic resonator is still far higher Q and stability than any Active RC Filter (Q~10,000 for AT xtal, Q>100k for SC Xtal). This is not easily achievable in RC active filters.