Simple answer: No.
BMT is the slackest period of training that you will go
through.
BMT stands for BASIC Military Training. Just knowing the Basics is
not enough. If you are healthy (PES A or B), you will be sent for
more courses after your BMT. Some of these courses will be tougher
than BMT and may last longer than BMT. Sometimes, you may be sent
for 2 courses back-to-back. Even if and when you get posted to a
unit, you will not be slacking for some time.
To be safe, don't plan anything until after you finish BMT.