No, not long enough by half - or even a tenth.
Bed bugs can survive a year without feeding. They can survive very cold temperatures with no trouble. If you want to kill them with cold, you have to put them in the freezer for a week. No kidding: a week.
If you can heat them up for just a few seconds above 120 degrees however, they just die.
You can make one hell of a big dent in your bed bug problem by yourself, however.
First clean everything. Bag every item of clothing. Shoes too (a surprisingly common hiding spot when I have had to eradicate infestations in properties I service). Wash and dry everything. The dryer will kill all adults and eggs, no problems there. Coming out of the dryer, everything goes into a new bag and stays there, sealed, until all the other steps are done.
Vacuum thoroughly. Then go 90 degrees and vacuum again.
Get deep into every corner. Do inside furniture too. When everything is done, take that bag OUT and either throw it away
or burn it. I lean toward burning because I know that will work. Plus I like burning things but that's neither here nor there.
Take every piece of furniture apart. Doors open, drawers out, get some light in there. Going through the entire space with a hair dryer set on HIGH, get into every nook and cranny, and just cook it for a minute or two - I say a minute because we want to be thorough. This will take a while.
Don't forget to remove switch and outlet covers and get in there, too.
That's it for eradication. Now it's time for control:
Caulk every crack. Bed bugs are flat and will slip through a crack as narrow as five sheets of paper. No cracks means no places to hide, so if they come back they'll be easier to find and kill.
Diatomaceous earth, also caled DE. DE is made up millions upon millions of tiny glass shards left over from prehistoric single-celled life forms called diatoms. They're too tiny to do anything to you - you could eat the stuff, not that I recommend it but it's that harmless - but to soft-bodied insects it's like strewing the entire world with caltrops, razor blades and sharpened Legos to stumble over. The bed bug's body gets lacerated all over and it dies in short order from dehydration.
ClimbUp traps. These things look a bit like ashtrays made of plastic. They are ridiculously effective. To make them even more effective, I sprinkle a teaspoon of baby powder (talc) into each one and spread it around.
Encapsulation bags. Put one of these on your mattress and box spring and leave it there for a couple of years. Seriously. A couple of years.
These control steps are what I use in the homeless shelter where I work, and we have gone from having a couple of bed bug complaints every month to none in the last year and a half. Seriously: NONE.
Good luck with it.