Well, it depends upon how you define 'good enough'. A log-periodic antenna can be power-efficient and cover the entire HF band with a low SWR, but such an antenna is large and expensive.
A tunable antenna, such as an antenna that uses a motor to reel and unreel a metal tape inside a tube such as a SteppIR, or a "screwdriver" mobile antenna that uses a motor to adjust a loading coil, can cover the entire HF band with a low SWR, as long as you don't mind a short wait to tune the antenna after you change frequencies. But if the antenna is to be power-efficient and cover the 80m band, it must also be large. Unfortunately, there is no easy way around the efficiency problem. "Screwdriver" mobile antennas aren't very large, because they are sized to fit on moving vehicles, but their efficiencies on 80m are terrible. I haven't experimented with a screwdriver antenna myself, but I wouldn't be surprised to hear that typical efficiency on 80m was 1-2%.
A small "magnetic" loop transmitting antenna can be compact. The problem there is that there is a tuning capacitor that must be adjusted when the frequency changes, and also transmitting a reasonable amount of power at the lower frequencies requires enormous current in the loop. This means that the more resistance the loop has, the less power-efficient the antenna will be. I don't know what typical efficiencies are, but I suspect they are also quite low. Careful construction with premium materials helps a lot, from what I've heard.
As I said, there is no easy way around the efficiency problem. But the magic of ham radio can help make up for this. QRP aficionados enjoy the challenge of transmitting with low power; the usual definition for QRP is 5 W or less. You might be surprised to know what QRPers can pull off. 100 W or 200 W into an inefficient antenna can produce the same amount of radiated RF power as 5 W into an efficient antenna. I can tell you from personal experience that sometimes propagation can really surprise. My first European QSO (from the West Coast of North America, which is usually a difficult path) was gray-line propagation using 11 W CW to an omnidirectional vertical on 20m, with a ham in an apartment building in Estonia, at the bottom of the sunspot cycle. Not quite QRP, but close. He was clearly intelligible for a few minutes, I made the contact, and then he vanished. Wow, what a thrill that was! Propagation like that isn't common, but it's not rare either; it's there if you look for it.