Lotus Trap

No. Assignment and dealing are separate steps in the combat sequence, and Lotus Trap only applies at the dealing step.

Lotus Trap is a replacement effect that applies when damage is dealt, not when it is assigned. The combat damage sequence treats these as two separate and distinct steps.^{[460.2.c.1][460.2.c.1.a]}

The assignment step requires lethal damage to be assigned to a unit in full before any remaining damage may be assigned to a different unit.^[460.2.c.3] Lethal damage is defined as non-zero damage equalling or exceeding a unit's might — this definition makes no reference to replacement effects that apply at the time of dealing. Lotus Trap's doubling only becomes relevant later, when damage is actually dealt.^[460.2.d]