Yes, you can do a descending turn, with <= 1G. However, you will then come out of it going down, and unless you want to fly into the cumulogranite you will need to pull > 1G in order to level out again.
If you really want to be pedantic, going east in level flight you are at less than 1G due to orbital momentum and in vary small part due to altitude. So, in theory you could do all of this and stay under 1G.
PS: The weight thing can be significant for hypersonic+ aircraft. Also, you use slightly less fuel going east than west due to earth’s rotation, though winds are going to be far more important.
To be truly pedantic, you could be landing and execute a slow sinking flare, which can be < 1G right up until the moment the wheels contact the pavement and the momentum of the aircraft results in > 1G force - but then you aren't flying any more!
