To a certain extent, yes.
To a useful extent, probably not.
I prefer to think of a wideband antenna as the most general form. Consider an infinite horn antenna, which therefore couples all frequencies DC-light into a similarly ideal transmission line. This has no resonance (a Q of zero), and an impedance defined by the angle of the horn.
The horn can be arranged with many symmetries: when linearly self-similar, it is a regular wedge-shaped horn as such, with a unidirectional radiation pattern. When revolved around an axis, it is a conical dipole, with a dipole radiation pattern (also symmetrical around the axis). When drawn in a plane, it is a planar horn, with a wide beam perpendicular to the plane and a narrow beam along the horn's mouth axis. When a planar horn is twisted around an axis, forming a spiral, it has a wide radiation pattern with circular polarization (the others listed so far have been linear polarized).
The exact shape of the horn doesn't matter to the frequency response; that controls polarization and beam pattern.
That leaves the impedance, which depends on the ratio of space occupied by the antenna, to free space. More or less. Consider a planar spiral antenna: there is positive space occupied by the antenna elements, and negative space inbetween them. If these spaces are equal (in both size and shape), then the antenna is self-dual, and the impedance is half that of free space.
In that sense, you could say such an antenna is matched to free space. I don't think the match is meaningful, though: you get the impedance transformation for free. (Consider this speculation on my part, until an E&M expert gets in here to put some proof behind this. I personally never got that deep into fields -- admittedly this is probably a masters level subject, so that is understandable!)
So then, what is a practical antenna, if not a perfectly general, ideal, everything-band antenna? A real antenna is one that has limited bandwidth, and therefore finite overall size (lower frequency limit), and finite minimum feature size (practical upper frequency limit).
By restricting the size, whole bands are cut off from reception. The antenna is itself a filter! As a filter, there are further opportunities for impedance matching. Example: you can wire up a dipole directly, and get so-and-so feedpoint impedance. Or you can short the would-be feedpoint, and connect off-center with a gamma match. Or you can add capacitors and inductors to transform the impedance (at a frequency) to anything else.
So, TLDR: the antenna is a filter, and consequently, a matching network. You can get pretty much any number you want, at the feedpoint. Very wideband antennas approach an ideal infinite antenna, whose impedance is defined by geometric ratios, and much more restrictive (without adding a transformer proper).
Tim