No he didn't. The Brady bill didn't become law until the 1990s.
well who did sign it then?....oh oh...not the same guy who brought us the assault rifle importation ban?.........was it?
Nope, The Impeached One, AKA the "Bent One", signed "Brady" and the Ugly Gun ban. The import ban was done, at least originally, via Treasury regulation under the "Sporting Purposes" test of the '68 GCA, under Bush, the father, egged on by his "drug czar" the compulsive high stakes gambler William Bennett. The "sporting purposes" ban was actually expanded in '98 under the Rapist in Chief.
Bill Clinton, in 1993.