No. One wont work on the other. gsm works with sim chips. Tdma is different.

Absolutely not.  One technology handset won't work on another unless
that handset is rigged for multiple technologies such as what's known
as "GAIT" in North America which can work on GSM, TDMA "IS-136"
networks as well as analogue AMPS.  There are also now hybrid CDMA-GSM
handsets that will work on CDMA networks in North America and also
work on GSM networks outside of North America.   Even though GSM has
TDMA as an underlying technology it is only compatible with GSM
networks of the correct frequency for where it's being used.
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Both phones used Time Division Multiple Access technology to operate,
but that beyond the underlying theory of operation, a GSM and a
TDMA/D-AMPS phone have next to nothing in common. There are some dual
mode phones aroung (GAIT IIRC). For example the underlying data rate
on GSM is 9600 bits per second or 14,400 bits per second (depends upon
how you want to look at), and a GSM phone uses a channel 200Khz wide,
and operates the transmitter 217 times per second. A D-AMPS phone uses
a 30Khz channel, and has an underlying data rate of 7200bits per
second, and operates at a much lower transmitter rate. The frame
formats, modulation scheme etc share essentially nothing.

Keep in mind that there are two versions of TDMA, D-AMPS and and a
very close relative, IS-136. D-AMPS has the ability for complete
coexistance on an AMPS network, IS-136 does not. (D-AMPS uses analog
signaling for control that is identical to AMPS, IS-136 uses digital
signaling for control which an AMPS network will not understand).