A student pilot may not do SVFR. Link the regs togeter.
91.157 (b)(4)(i) The person being granted the ATC clearance meets the applicable requirements for instrument flight under part 61 of this chapter; and
61.65 (a)(1) Hold at least a private pilot certificate with an airplane, helicopter, or powered-lift rating appropriate to the instrument rating sought
How is a student pilot going to qualify as a private pilot?