Yes, it definitely is, but I think it will take some planning, and might include the purchase of some special-purpose modules to help me get there. Just let me get the Hauler first and maybe you will help me do the planning ?
I can show you a suggested build for a Hauler for your early exploration goals - perhaps "road to riches" tours which a list of systems on a route of your choosing known to contain earth like worlds and water worlds which are worth a lot of credits when you use the detailed surface scanner to map them.
I do have some notes to short cut the process of obtaining an Engineered FSD V1 that only comes in size 5, so DBX, ASPX, Phantom is needed for it. Best FSD in the game - easier to get than working with an engineer to tune an FSD and it gives a better jump range than what the engineer can do.
I can then point you in the right direction to get a Guardian FSD booster which can be made in a variety of sizes, but the best size 5 one giving +10.5ly jump range does not fit in a DBX, so is for ASPX, Phantom and any ship with a size 5 or larger internal slot. If you really want to put one in the DBX it must be a size 4 giving +9.3ly to jump range. The mission to get the parts for this involves a 1000ly+ each way journey and landing on rough terrain. The best ship in the whole game for this mission is the DBX.
Each of the above tasks involves exploration related activity - no ship combat or mining is required (SRV needs to shoot stuff), but it will take some hours to achieve. There is some advantage in knowing the materials you need ahead of time, because if you are exploring in the Hauler and happen upon "High Grade Emissions" signals, you could take the opportunity to visit the signal location and salvage some useful materials from the wreckage of destroyed ships there. Collection limpet controllers and limpets make this task easier. These materials can be traded later for the materials you actually need for the FSD V1. Note - materials take up no cargo space, do not add the the weight of the ship and are never lost if your ship is destroyed due to "space fairy magic".
The key thing about the above, is engineering and FSD boosters is quite an investment in time and effort that I suggest you only do for the benefit of larger ship modules you will keep and use long term. All the Hauler modules are too small to be of use in the larger ships, so I'd suggest not worth investing engineering materials and effort in, unless you really want to keep the Hauler long term as a challenge. No amount of engineering on a Hauler will stretch it to the higher jump ranges the other ships can achieve.