Yes, comfortably, in the unremarkable way that most people actually want. The recorded crime rate runs at about 57 offences per thousand people a year, which lands roughly 2% below the average for the wider New Forest area. That is not a fortress and it is not a warning. It is the statistical middle, the point where the numbers sit so close to typical that they stop being a talking point. Over the most recent year the town logged in the region of 445 recorded offences in total, which for a place its size is a quiet ledger.
Both of those figures are published as they stand rather than something to reverse-engineer, and it is worth resisting the urge to divide one by the other. The rate and the raw count are measured against different populations, so the obvious-looking sum gives you the wrong answer. Take them as they come: a rate a shade under the local benchmark, and a yearly volume that sits low for the number of people living here. What the figures do not carry is drama. There is no single street or category doing the heavy lifting in this record, and no hotspot the map is quietly flagging, which is itself the tell. Places with a real problem tend to have a number that refuses to sit still. Hythe's sits still. The estate-agent version will oversell the calm and the anxious-buyer version will invent a menace, and the record supports neither.
The verdict matches the score: average, and here average is a compliment. Hythe is about as safe as the typical town in its corner of Hampshire, which is to say safe enough that the crime figures will be the least interesting thing you check before you buy.